Greatest Common Factor of 2752 and 2756

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 2752, 2756 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2752 and 2756 is 4.

GCF(2752,2756) = 4

GCF of 2752 and 2756

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

GCF of:
and

Greatest Common Factor of 2752 and 2756

GCF of 2752 and 2756 is 4

Prime Factorization of 2752


2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 2752 are 2,43. Prime factorization of 2752 in exponential form is:

2752 = 26×431

Prime Factorization of 2756


2 2756
2 1378
13 689
53 53
1

Prime factors of 2756 are 2,13,53. Prime factorization of 2756 in exponential form is:

2756 = 22×131×531

∴ So by taking common prime factors GCF of 2752 and 2756 is 4

Greatest Common Factor of 2752 and 2756 by matching factors method

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1,2,4,8,16,32,43,64,86,172,344,688,1376,2752

Factors of 2756

List of positive integer factors of 2756 that divides 2756 without a remainder.

1,2,4,13,26,52,53,106,212,689,1378,2756

Greatest Common Factor

We found the factors and prime factorization of 2752 and 2756. The biggest common factor number is the GCF number.
So the greatest common factor 2752 and 2756 is 4.

Also check out the Least Common Multiple of 2752 and 2756

Properties of GCF 2752 and 2756

(i) The GCF of 2752 and 2756 is associative

GCF of 2752 and 2756 = GCF of 2756 and 2752

Related Greatest Common Factor of 2752

Related Greatest Common Factor of 2756

Frequently Asked Questions on GCF of 2752 and 2756

1. What is the GCF of 2752 and 2756?

Answer: GCF of 2752 and 2756 is 4.

2. What are the Factors of 2752?

Answer: Factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. There are 14 integers that are factors of 2752. The greatest factor of 2752 is 2752.

3. What are the Factors of 2756?

Answer: Factors of 2756 are 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756. There are 12 integers that are factors of 2756. The greatest factor of 2756 is 2756.

4. How to Find the GCF of 2752 and 2756?

Answer:

Greatest Common Factor of 2752 and 2756 = 4

Step 1: Find the prime factorization of 2752

2752 = 2 x 2 x 2 x 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 2756

2756 = 2 x 2 x 13 x 53

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 2752 and 2756 is 4