Greatest Common Factor of 6768 and 6772

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 6768, 6772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6768 and 6772 is 4.

GCF(6768,6772) = 4

GCF of 6768 and 6772

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

GCF of:
and

Greatest Common Factor of 6768 and 6772

GCF of 6768 and 6772 is 4

Prime Factorization of 6768


2 6768
2 3384
2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 6768 are 2,3,47. Prime factorization of 6768 in exponential form is:

6768 = 24×32×471

Prime Factorization of 6772


2 6772
2 3386
1693 1693
1

Prime factors of 6772 are 2,1693. Prime factorization of 6772 in exponential form is:

6772 = 22×16931

∴ So by taking common prime factors GCF of 6768 and 6772 is 4

Greatest Common Factor of 6768 and 6772 by matching factors method

Factors of 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768

Factors of 6772

List of positive integer factors of 6772 that divides 6772 without a remainder.

1,2,4,1693,3386,6772

Greatest Common Factor

We found the factors and prime factorization of 6768 and 6772. The biggest common factor number is the GCF number.
So the greatest common factor 6768 and 6772 is 4.

Also check out the Least Common Multiple of 6768 and 6772

Properties of GCF 6768 and 6772

(i) The GCF of 6768 and 6772 is associative

GCF of 6768 and 6772 = GCF of 6772 and 6768

Related Greatest Common Factor of 6768

Related Greatest Common Factor of 6772

Frequently Asked Questions on GCF of 6768 and 6772

1. What is the GCF of 6768 and 6772?

Answer: GCF of 6768 and 6772 is 4.

2. What are the Factors of 6768?

Answer: Factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768. There are 30 integers that are factors of 6768. The greatest factor of 6768 is 6768.

3. What are the Factors of 6772?

Answer: Factors of 6772 are 1, 2, 4, 1693, 3386, 6772. There are 6 integers that are factors of 6772. The greatest factor of 6772 is 6772.

4. How to Find the GCF of 6768 and 6772?

Answer:

Greatest Common Factor of 6768 and 6772 = 4

Step 1: Find the prime factorization of 6768

6768 = 2 x 2 x 2 x 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 6772

6772 = 2 x 2 x 1693

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 6768 and 6772 is 4