GCF of 525 and 735 is 105

- Find all the numbers that would divide 525 and 735 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 525 and 735, and read off the answer!

- Factors for
**525: 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525** - Factors for
**735: 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735**

Hence, GCf of
*525*
and
*735*
is **105**

Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (525, 735).

- The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 525 and 735 is 105, where 105 is less than both the numbers.
- If the given numbers are consecutive than GCF is always 1.
- Product of two numbers is always equal to the product of their GCF and LCM.
- 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 that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

- Every factor of a number is an exact divisor of that number, example 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525 are exact divisors of 525 and 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735 are exact divisors of 735.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 525 and 735 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 525 and also of 735.

**Step 1.**Find all the numbers that would divide 525 and 735 without leaving any remainder. Starting with the number 1 upto 262 (half of 525) and 1 upto 367 (half of 735). The number 1 and the number itself are always factors of the given number.525 ÷ 1 : Remainder = 0735 ÷ 1 : Remainder = 0525 ÷ 3 : Remainder = 0735 ÷ 3 : Remainder = 0525 ÷ 5 : Remainder = 0735 ÷ 5 : Remainder = 0525 ÷ 7 : Remainder = 0735 ÷ 7 : Remainder = 0525 ÷ 15 : Remainder = 0735 ÷ 15 : Remainder = 0525 ÷ 21 : Remainder = 0735 ÷ 21 : Remainder = 0525 ÷ 25 : Remainder = 0735 ÷ 35 : Remainder = 0525 ÷ 35 : Remainder = 0735 ÷ 49 : Remainder = 0525 ÷ 75 : Remainder = 0735 ÷ 105 : Remainder = 0525 ÷ 105 : Remainder = 0735 ÷ 147 : Remainder = 0525 ÷ 175 : Remainder = 0735 ÷ 245 : Remainder = 0525 ÷ 525 : Remainder = 0735 ÷ 735 : Remainder = 0

Hence, Factors of
*525* are **1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, and 525**

And, Factors of
*735* are **1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, and 735**

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 525 and 735.

GCF of 525 and 735 is 105.

To find the greatest number of students that could be in each row, we need to find the GCF of 525 and 735. Hence, GCF of 525 and 735 is 105.

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

To find the greatest number of tables that Ram can stock we need to find the GCF of 525 and 735. Hence GCF of 525 and 735 is 105. So the number of tables that can be arranged is 105.

The greatest number of boxes Ariel can make would be equal to GCF of 525 and 735. So the GCF of 525 and 735 is 105.

Greatest possible way in which Mary can arrange them in groups would be GCF of 525 and 735. Hence, the GCF of 525 and 735 or the greatest arrangement is 105.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 525 and 735. So the GCF of 525 and 735 is 105.

the greatest number of baskets that Kunal can make would be equal to GCF of 525 and 735. So the GCF of 525 and 735 is 105.

To make the greatest number of envelopes Abir needs to find out the GCF of 525 and 735. Hence, GCF of 525 and 735 is 105.