Greatest Common Factor of 756 and 764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 756, 764 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 756 and 764 is 4.

GCF(756,764) = 4

GCF of 756 and 764

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 756 and 764

GCF of 756 and 764 is 4

Prime Factorization of 756


2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 756 are 2,3,7. Prime factorization of 756 in exponential form is:

756 = 22×33×71

Prime Factorization of 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

∴ So by taking common prime factors GCF of 756 and 764 is 4

Greatest Common Factor of 756 and 764 by matching factors method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors and prime factorization of 756 and 764. The biggest common factor number is the GCF number.
So the greatest common factor 756 and 764 is 4.

Also check out the Least Common Multiple of 756 and 764

Properties of GCF 756 and 764

(i) The GCF of 756 and 764 is associative

GCF of 756 and 764 = GCF of 764 and 756

Related Greatest Common Factor of 756

Related Greatest Common Factor of 764

Frequently Asked Questions on GCF of 756 and 764

1. What is the GCF of 756 and 764?

Answer: GCF of 756 and 764 is 4.

2. What are the Factors of 756?

Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.

3. What are the Factors of 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

4. How to Find the GCF of 756 and 764?

Answer:

Greatest Common Factor of 756 and 764 = 4

Step 1: Find the prime factorization of 756

756 = 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 764

764 = 2 x 2 x 191

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 756 and 764 is 4