Greatest Common Factor of 756 and 761

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, 761 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 756 and 761 is 1.

GCF(756,761) = 1

GCF of 756 and 761

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

GCF of:
and

Greatest Common Factor of 756 and 761

GCF of 756 and 761 is 1

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 761


761 761
1

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 7611

∴ So by taking common prime factors GCF of 756 and 761 is 1

Greatest Common Factor of 756 and 761 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 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors and prime factorization of 756 and 761. The biggest common factor number is the GCF number.
So the greatest common factor 756 and 761 is 1.

Also check out the Least Common Multiple of 756 and 761

Properties of GCF 756 and 761

(i) The GCF of 756 and 761 is associative

GCF of 756 and 761 = GCF of 761 and 756

Related Greatest Common Factor of 756

Related Greatest Common Factor of 761

Frequently Asked Questions on GCF of 756 and 761

1. What is the GCF of 756 and 761?

Answer: GCF of 756 and 761 is 1.

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 761?

Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.

4. How to Find the GCF of 756 and 761?

Answer:

Greatest Common Factor of 756 and 761 = 1

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 761

761 = 761

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 756 and 761 is 1