Greatest Common Factor of 2668 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 2668, 2672 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2668 and 2672 is 4.

GCF(2668,2672) = 4

GCF of 2668 and 2672

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

GCF of:
and

Greatest Common Factor of 2668 and 2672

GCF of 2668 and 2672 is 4

Prime Factorization of 2668


2 2668
2 1334
23 667
29 29
1

Prime factors of 2668 are 2,23,29. Prime factorization of 2668 in exponential form is:

2668 = 22×231×291

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 2668 and 2672 is 4

Greatest Common Factor of 2668 and 2672 by matching factors method

Factors of 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1,2,4,23,29,46,58,92,116,667,1334,2668

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 2668 and 2672. The biggest common factor number is the GCF number.
So the greatest common factor 2668 and 2672 is 4.

Also check out the Least Common Multiple of 2668 and 2672

Properties of GCF 2668 and 2672

(i) The GCF of 2668 and 2672 is associative

GCF of 2668 and 2672 = GCF of 2672 and 2668

Related Greatest Common Factor of 2668

Related Greatest Common Factor of 2672

Frequently Asked Questions on GCF of 2668 and 2672

1. What is the GCF of 2668 and 2672?

Answer: GCF of 2668 and 2672 is 4.

2. What are the Factors of 2668?

Answer: Factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668. There are 12 integers that are factors of 2668. The greatest factor of 2668 is 2668.

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 2668 and 2672?

Answer:

Greatest Common Factor of 2668 and 2672 = 4

Step 1: Find the prime factorization of 2668

2668 = 2 x 2 x 23 x 29

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 = 4

Step 4: Therefore, the greatest common factor of 2668 and 2672 is 4