Greatest Common Factor of 2868 and 2872

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 2868, 2872 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2868 and 2872 is 4.

GCF(2868,2872) = 4

GCF of 2868 and 2872

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

GCF of:
and

Greatest Common Factor of 2868 and 2872

GCF of 2868 and 2872 is 4

Prime Factorization of 2868


2 2868
2 1434
3 717
239 239
1

Prime factors of 2868 are 2,3,239. Prime factorization of 2868 in exponential form is:

2868 = 22×31×2391

Prime Factorization of 2872


2 2872
2 1436
2 718
359 359
1

Prime factors of 2872 are 2,359. Prime factorization of 2872 in exponential form is:

2872 = 23×3591

∴ So by taking common prime factors GCF of 2868 and 2872 is 4

Greatest Common Factor of 2868 and 2872 by matching factors method

Factors of 2868

List of positive integer factors of 2868 that divides 2868 without a remainder.

1,2,3,4,6,12,239,478,717,956,1434,2868

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors and prime factorization of 2868 and 2872. The biggest common factor number is the GCF number.
So the greatest common factor 2868 and 2872 is 4.

Also check out the Least Common Multiple of 2868 and 2872

Properties of GCF 2868 and 2872

(i) The GCF of 2868 and 2872 is associative

GCF of 2868 and 2872 = GCF of 2872 and 2868

Related Greatest Common Factor of 2868

Related Greatest Common Factor of 2872

Frequently Asked Questions on GCF of 2868 and 2872

1. What is the GCF of 2868 and 2872?

Answer: GCF of 2868 and 2872 is 4.

2. What are the Factors of 2868?

Answer: Factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868. There are 12 integers that are factors of 2868. The greatest factor of 2868 is 2868.

3. What are the Factors of 2872?

Answer: Factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872. There are 8 integers that are factors of 2872. The greatest factor of 2872 is 2872.

4. How to Find the GCF of 2868 and 2872?

Answer:

Greatest Common Factor of 2868 and 2872 = 4

Step 1: Find the prime factorization of 2868

2868 = 2 x 2 x 3 x 239

Step 2: Find the prime factorization of 2872

2872 = 2 x 2 x 2 x 359

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 2868 and 2872 is 4