Greatest Common Factor of 2864 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 2864, 2872 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2864 and 2872 is 8.

GCF(2864,2872) = 8

GCF of 2864 and 2872

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

GCF of:
and

Greatest Common Factor of 2864 and 2872

GCF of 2864 and 2872 is 8

Prime Factorization of 2864


2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 2864 are 2,179. Prime factorization of 2864 in exponential form is:

2864 = 24×1791

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 2864 and 2872 is 8

Greatest Common Factor of 2864 and 2872 by matching factors method

Factors of 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1,2,4,8,16,179,358,716,1432,2864

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 2864 and 2872. The biggest common factor number is the GCF number.
So the greatest common factor 2864 and 2872 is 8.

Also check out the Least Common Multiple of 2864 and 2872

Properties of GCF 2864 and 2872

(i) The GCF of 2864 and 2872 is associative

GCF of 2864 and 2872 = GCF of 2872 and 2864

Related Greatest Common Factor of 2864

Related Greatest Common Factor of 2872

Frequently Asked Questions on GCF of 2864 and 2872

1. What is the GCF of 2864 and 2872?

Answer: GCF of 2864 and 2872 is 8.

2. What are the Factors of 2864?

Answer: Factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864. There are 10 integers that are factors of 2864. The greatest factor of 2864 is 2864.

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 2864 and 2872?

Answer:

Greatest Common Factor of 2864 and 2872 = 8

Step 1: Find the prime factorization of 2864

2864 = 2 x 2 x 2 x 2 x 179

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 2864 and 2872 is 8