Greatest Common Factor of 756 and 763

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, 763 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 756 and 763 is 7.

GCF(756,763) = 7

GCF of 756 and 763

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

GCF of:
and

Greatest Common Factor of 756 and 763

GCF of 756 and 763 is 7

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 763


7 763
109 109
1

Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:

763 = 71×1091

∴ So by taking common prime factors GCF of 756 and 763 is 7

Greatest Common Factor of 756 and 763 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 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors and prime factorization of 756 and 763. The biggest common factor number is the GCF number.
So the greatest common factor 756 and 763 is 7.

Also check out the Least Common Multiple of 756 and 763

Properties of GCF 756 and 763

(i) The GCF of 756 and 763 is associative

GCF of 756 and 763 = GCF of 763 and 756

Related Greatest Common Factor of 756

Related Greatest Common Factor of 763

Frequently Asked Questions on GCF of 756 and 763

1. What is the GCF of 756 and 763?

Answer: GCF of 756 and 763 is 7.

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 763?

Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.

4. How to Find the GCF of 756 and 763?

Answer:

Greatest Common Factor of 756 and 763 = 7

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 763

763 = 7 x 109

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

GCF = 7

Step 4: Therefore, the greatest common factor of 756 and 763 is 7