Greatest Common Factor of 6748 and 6752

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 6748, 6752 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6748 and 6752 is 4.

GCF(6748,6752) = 4

GCF of 6748 and 6752

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

GCF of:
and

Greatest Common Factor of 6748 and 6752

GCF of 6748 and 6752 is 4

Prime Factorization of 6748


2 6748
2 3374
7 1687
241 241
1

Prime factors of 6748 are 2,7,241. Prime factorization of 6748 in exponential form is:

6748 = 22×71×2411

Prime Factorization of 6752


2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 6752 are 2,211. Prime factorization of 6752 in exponential form is:

6752 = 25×2111

∴ So by taking common prime factors GCF of 6748 and 6752 is 4

Greatest Common Factor of 6748 and 6752 by matching factors method

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1,2,4,7,14,28,241,482,964,1687,3374,6748

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1,2,4,8,16,32,211,422,844,1688,3376,6752

Greatest Common Factor

We found the factors and prime factorization of 6748 and 6752. The biggest common factor number is the GCF number.
So the greatest common factor 6748 and 6752 is 4.

Also check out the Least Common Multiple of 6748 and 6752

Properties of GCF 6748 and 6752

(i) The GCF of 6748 and 6752 is associative

GCF of 6748 and 6752 = GCF of 6752 and 6748

Related Greatest Common Factor of 6748

Related Greatest Common Factor of 6752

Frequently Asked Questions on GCF of 6748 and 6752

1. What is the GCF of 6748 and 6752?

Answer: GCF of 6748 and 6752 is 4.

2. What are the Factors of 6748?

Answer: Factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748. There are 12 integers that are factors of 6748. The greatest factor of 6748 is 6748.

3. What are the Factors of 6752?

Answer: Factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752. There are 12 integers that are factors of 6752. The greatest factor of 6752 is 6752.

4. How to Find the GCF of 6748 and 6752?

Answer:

Greatest Common Factor of 6748 and 6752 = 4

Step 1: Find the prime factorization of 6748

6748 = 2 x 2 x 7 x 241

Step 2: Find the prime factorization of 6752

6752 = 2 x 2 x 2 x 2 x 2 x 211

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 6748 and 6752 is 4