GCF of 104 and 260 is 52

- Find all the numbers that would divide 104 and 260 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 104 and 260, and read off the answer!

- Factors for
**104: 1, 2, 4, 8, 13, 26, 52, 104** - Factors for
**260: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260**

Hence, GCf of
*104*
and
*260*
is **52**

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (104, 260).

- The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 104 and 260 is 52, where 52 is less than both 104 and 260.
- GCF of two consecutive numbers is always 1.
- The product of GCF and LCM of two given numbers is equal to the product of two numbers.
- The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

- Each number is a factor of itself. Eg. 104 and 260 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 104 and also of 260.
- Every number is a factor of zero (0), since 104 x 0 = 0 and 260 x 0 = 0.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 13, 26, 52, 104 are exact divisors of 104 and 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260 are exact divisors of 260.
- Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. Each factor divides 104 without leaving a remainder.

Simlarly, factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. Each factor divides 260 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 26, 52, 104 are all less than or equal to 104 and 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260 are all less than or equal to 260.

**Step 1.**Find all the numbers that would divide 104 and 260 without leaving any remainder. Starting with the number 1 upto 52 (half of 104) and 1 upto 130 (half of 260). The number 1 and the number itself are always factors of the given number.104 ÷ 1 : Remainder = 0260 ÷ 1 : Remainder = 0104 ÷ 2 : Remainder = 0260 ÷ 2 : Remainder = 0104 ÷ 4 : Remainder = 0260 ÷ 4 : Remainder = 0104 ÷ 8 : Remainder = 0260 ÷ 5 : Remainder = 0104 ÷ 13 : Remainder = 0260 ÷ 10 : Remainder = 0104 ÷ 26 : Remainder = 0260 ÷ 13 : Remainder = 0104 ÷ 52 : Remainder = 0260 ÷ 20 : Remainder = 0104 ÷ 104 : Remainder = 0260 ÷ 26 : Remainder = 0260 ÷ 52 : Remainder = 0260 ÷ 65 : Remainder = 0260 ÷ 130 : Remainder = 0260 ÷ 260 : Remainder = 0

Hence, Factors of
*104* are **1, 2, 4, 8, 13, 26, 52, and 104**

And, Factors of
*260* are **1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260**

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 104 and 260.

GCF of 104 and 260 is 52.

To find the greatest number of students that could be in each row, we need to find the GCF of 104 and 260. Hence, GCF of 104 and 260 is 52.

GCF and LCM of two numbers can be related as GCF(104, 260) = ( 104 * 260 ) / LCM(104, 260) = 52.

GCF of 104 and 260 is 52.

To find the greatest number of tables that Ram can stock we need to find the GCF of 104 and 260. Hence GCF of 104 and 260 is 52. So the number of tables that can be arranged is 52.

The greatest number of servings Rubel can create would be equal to the GCF of 104 and 260. Thus GCF of 104 and 260 is 52.

The greatest number of boxes Ariel can make would be equal to GCF of 104 and 260. So the GCF of 104 and 260 is 52.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 104 and 260. So the GCF of 104 and 260 is 52.

To make the greatest number of envelopes Abir needs to find out the GCF of 104 and 260. Hence, GCF of 104 and 260 is 52.