GCF of 28 and 70 is 14

- Find all the numbers that would divide 28 and 70 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 28 and 70, and read off the answer!

- Factors for
**28: 1, 2, 4, 7, 14, 28** - Factors for
**70: 1, 2, 5, 7, 10, 14, 35, 70**

Hence, GCf of
*28*
and
*70*
is **14**

Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (28, 70).

- The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 28 and 70 is 14, where 14 is less than both 28 and 70.
- 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, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

- Each number is a factor of itself. Eg. 28 and 70 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 28 and also of 70.
- Every number is a factor of zero (0), since 28 x 0 = 0 and 70 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, 7, 14, 28 are exact divisors of 28 and 1, 2, 5, 7, 10, 14, 35, 70 are exact divisors of 70.
- Factors of 28 are 1, 2, 4, 7, 14, 28. Each factor divides 28 without leaving a remainder.

Simlarly, factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. Each factor divides 70 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 28 are all less than or equal to 28 and 1, 2, 5, 7, 10, 14, 35, 70 are all less than or equal to 70.

**Step 1.**Find all the numbers that would divide 28 and 70 without leaving any remainder. Starting with the number 1 upto 14 (half of 28) and 1 upto 35 (half of 70). The number 1 and the number itself are always factors of the given number.28 ÷ 1 : Remainder = 070 ÷ 1 : Remainder = 028 ÷ 2 : Remainder = 070 ÷ 2 : Remainder = 028 ÷ 4 : Remainder = 070 ÷ 5 : Remainder = 028 ÷ 7 : Remainder = 070 ÷ 7 : Remainder = 028 ÷ 14 : Remainder = 070 ÷ 10 : Remainder = 028 ÷ 28 : Remainder = 070 ÷ 14 : Remainder = 070 ÷ 35 : Remainder = 070 ÷ 70 : Remainder = 0

Hence, Factors of
*28* are **1, 2, 4, 7, 14, and 28**

And, Factors of
*70* are **1, 2, 5, 7, 10, 14, 35, and 70**

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 28 and 70.

GCF of 28 and 70 is 14.

To find the greatest number of students that could be in each row, we need to find the GCF of 28 and 70. Hence, GCF of 28 and 70 is 14.

GCF and LCM of two numbers can be related as GCF(28, 70) = ( 28 * 70 ) / LCM(28, 70) = 14.

GCF of 28 and 70 is 14.

To find the greatest number of tables that Ram can stock we need to find the GCF of 28 and 70. Hence GCF of 28 and 70 is 14. So the number of tables that can be arranged is 14.

Greatest possible way in which Mary can arrange them in groups would be GCF of 28 and 70. Hence, the GCF of 28 and 70 or the greatest arrangement is 14.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 28 and 70. So the GCF of 28 and 70 is 14.

the greatest number of baskets that Kunal can make would be equal to GCF of 28 and 70. So the GCF of 28 and 70 is 14.

To make the greatest number of envelopes Abir needs to find out the GCF of 28 and 70. Hence, GCF of 28 and 70 is 14.