Greatest Common Factor of 2656 and 2664

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 2656, 2664 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2656 and 2664 is 8.

GCF(2656,2664) = 8

GCF of 2656 and 2664

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

GCF of:
and

Greatest Common Factor of 2656 and 2664

GCF of 2656 and 2664 is 8

Prime Factorization of 2656


2 2656
2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 2656 are 2,83. Prime factorization of 2656 in exponential form is:

2656 = 25×831

Prime Factorization of 2664


2 2664
2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 2664 are 2,3,37. Prime factorization of 2664 in exponential form is:

2664 = 23×32×371

∴ So by taking common prime factors GCF of 2656 and 2664 is 8

Greatest Common Factor of 2656 and 2664 by matching factors method

Factors of 2656

List of positive integer factors of 2656 that divides 2656 without a remainder.

1,2,4,8,16,32,83,166,332,664,1328,2656

Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664

Greatest Common Factor

We found the factors and prime factorization of 2656 and 2664. The biggest common factor number is the GCF number.
So the greatest common factor 2656 and 2664 is 8.

Also check out the Least Common Multiple of 2656 and 2664

Properties of GCF 2656 and 2664

(i) The GCF of 2656 and 2664 is associative

GCF of 2656 and 2664 = GCF of 2664 and 2656

Related Greatest Common Factor of 2656

Related Greatest Common Factor of 2664

Frequently Asked Questions on GCF of 2656 and 2664

1. What is the GCF of 2656 and 2664?

Answer: GCF of 2656 and 2664 is 8.

2. What are the Factors of 2656?

Answer: Factors of 2656 are 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328, 2656. There are 12 integers that are factors of 2656. The greatest factor of 2656 is 2656.

3. What are the Factors of 2664?

Answer: Factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664. There are 24 integers that are factors of 2664. The greatest factor of 2664 is 2664.

4. How to Find the GCF of 2656 and 2664?

Answer:

Greatest Common Factor of 2656 and 2664 = 8

Step 1: Find the prime factorization of 2656

2656 = 2 x 2 x 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 2664

2664 = 2 x 2 x 2 x 3 x 3 x 37

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 2656 and 2664 is 8