Greatest Common Factor of 2924 and 2932

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 2924, 2932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2924 and 2932 is 4.

GCF(2924,2932) = 4

GCF of 2924 and 2932

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

GCF of:
and

Greatest Common Factor of 2924 and 2932

GCF of 2924 and 2932 is 4

Prime Factorization of 2924


2 2924
2 1462
17 731
43 43
1

Prime factors of 2924 are 2,17,43. Prime factorization of 2924 in exponential form is:

2924 = 22×171×431

Prime Factorization of 2932


2 2932
2 1466
733 733
1

Prime factors of 2932 are 2,733. Prime factorization of 2932 in exponential form is:

2932 = 22×7331

∴ So by taking common prime factors GCF of 2924 and 2932 is 4

Greatest Common Factor of 2924 and 2932 by matching factors method

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1,2,4,17,34,43,68,86,172,731,1462,2924

Factors of 2932

List of positive integer factors of 2932 that divides 2932 without a remainder.

1,2,4,733,1466,2932

Greatest Common Factor

We found the factors and prime factorization of 2924 and 2932. The biggest common factor number is the GCF number.
So the greatest common factor 2924 and 2932 is 4.

Also check out the Least Common Multiple of 2924 and 2932

Properties of GCF 2924 and 2932

(i) The GCF of 2924 and 2932 is associative

GCF of 2924 and 2932 = GCF of 2932 and 2924

Related Greatest Common Factor of 2924

Related Greatest Common Factor of 2932

Frequently Asked Questions on GCF of 2924 and 2932

1. What is the GCF of 2924 and 2932?

Answer: GCF of 2924 and 2932 is 4.

2. What are the Factors of 2924?

Answer: Factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924. There are 12 integers that are factors of 2924. The greatest factor of 2924 is 2924.

3. What are the Factors of 2932?

Answer: Factors of 2932 are 1, 2, 4, 733, 1466, 2932. There are 6 integers that are factors of 2932. The greatest factor of 2932 is 2932.

4. How to Find the GCF of 2924 and 2932?

Answer:

Greatest Common Factor of 2924 and 2932 = 4

Step 1: Find the prime factorization of 2924

2924 = 2 x 2 x 17 x 43

Step 2: Find the prime factorization of 2932

2932 = 2 x 2 x 733

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 2924 and 2932 is 4