Greatest Common Factor of 2664 and 2672

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 2664, 2672 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2664 and 2672 is 8.

GCF(2664,2672) = 8

GCF of 2664 and 2672

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

GCF of:
and

Greatest Common Factor of 2664 and 2672

GCF of 2664 and 2672 is 8

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

Prime Factorization of 2672


2 2672
2 1336
2 668
2 334
167 167
1

Prime factors of 2672 are 2,167. Prime factorization of 2672 in exponential form is:

2672 = 24×1671

∴ So by taking common prime factors GCF of 2664 and 2672 is 8

Greatest Common Factor of 2664 and 2672 by matching factors method

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

Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1,2,4,8,16,167,334,668,1336,2672

Greatest Common Factor

We found the factors and prime factorization of 2664 and 2672. The biggest common factor number is the GCF number.
So the greatest common factor 2664 and 2672 is 8.

Also check out the Least Common Multiple of 2664 and 2672

Properties of GCF 2664 and 2672

(i) The GCF of 2664 and 2672 is associative

GCF of 2664 and 2672 = GCF of 2672 and 2664

Related Greatest Common Factor of 2664

Related Greatest Common Factor of 2672

Frequently Asked Questions on GCF of 2664 and 2672

1. What is the GCF of 2664 and 2672?

Answer: GCF of 2664 and 2672 is 8.

2. 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.

3. What are the Factors of 2672?

Answer: Factors of 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672. There are 10 integers that are factors of 2672. The greatest factor of 2672 is 2672.

4. How to Find the GCF of 2664 and 2672?

Answer:

Greatest Common Factor of 2664 and 2672 = 8

Step 1: Find the prime factorization of 2664

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

Step 2: Find the prime factorization of 2672

2672 = 2 x 2 x 2 x 2 x 167

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 2664 and 2672 is 8