Greatest Common Factor of 6756 and 6762

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 6756, 6762 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6756 and 6762 is 6.

GCF(6756,6762) = 6

GCF of 6756 and 6762

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

GCF of:
and

Greatest Common Factor of 6756 and 6762

GCF of 6756 and 6762 is 6

Prime Factorization of 6756


2 6756
2 3378
3 1689
563 563
1

Prime factors of 6756 are 2,3,563. Prime factorization of 6756 in exponential form is:

6756 = 22×31×5631

Prime Factorization of 6762


2 6762
3 3381
7 1127
7 161
23 23
1

Prime factors of 6762 are 2,3,7,23. Prime factorization of 6762 in exponential form is:

6762 = 21×31×72×231

∴ So by taking common prime factors GCF of 6756 and 6762 is 6

Greatest Common Factor of 6756 and 6762 by matching factors method

Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1,2,3,4,6,12,563,1126,1689,2252,3378,6756

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Greatest Common Factor

We found the factors and prime factorization of 6756 and 6762. The biggest common factor number is the GCF number.
So the greatest common factor 6756 and 6762 is 6.

Also check out the Least Common Multiple of 6756 and 6762

Properties of GCF 6756 and 6762

(i) The GCF of 6756 and 6762 is associative

GCF of 6756 and 6762 = GCF of 6762 and 6756

Related Greatest Common Factor of 6756

Related Greatest Common Factor of 6762

Frequently Asked Questions on GCF of 6756 and 6762

1. What is the GCF of 6756 and 6762?

Answer: GCF of 6756 and 6762 is 6.

2. What are the Factors of 6756?

Answer: Factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756. There are 12 integers that are factors of 6756. The greatest factor of 6756 is 6756.

3. What are the Factors of 6762?

Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.

4. How to Find the GCF of 6756 and 6762?

Answer:

Greatest Common Factor of 6756 and 6762 = 6

Step 1: Find the prime factorization of 6756

6756 = 2 x 2 x 3 x 563

Step 2: Find the prime factorization of 6762

6762 = 2 x 3 x 7 x 7 x 23

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6756 and 6762 is 6