Greatest Common Factor of 2912 and 2920

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 2912, 2920 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2912 and 2920 is 8.

GCF(2912,2920) = 8

GCF of 2912 and 2920

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

GCF of:
and

Greatest Common Factor of 2912 and 2920

GCF of 2912 and 2920 is 8

Prime Factorization of 2912


2 2912
2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 2912 are 2,7,13. Prime factorization of 2912 in exponential form is:

2912 = 25×71×131

Prime Factorization of 2920


2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 2920 are 2,5,73. Prime factorization of 2920 in exponential form is:

2920 = 23×51×731

∴ So by taking common prime factors GCF of 2912 and 2920 is 8

Greatest Common Factor of 2912 and 2920 by matching factors method

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920

Greatest Common Factor

We found the factors and prime factorization of 2912 and 2920. The biggest common factor number is the GCF number.
So the greatest common factor 2912 and 2920 is 8.

Also check out the Least Common Multiple of 2912 and 2920

Properties of GCF 2912 and 2920

(i) The GCF of 2912 and 2920 is associative

GCF of 2912 and 2920 = GCF of 2920 and 2912

Related Greatest Common Factor of 2912

Related Greatest Common Factor of 2920

Frequently Asked Questions on GCF of 2912 and 2920

1. What is the GCF of 2912 and 2920?

Answer: GCF of 2912 and 2920 is 8.

2. What are the Factors of 2912?

Answer: Factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912. There are 24 integers that are factors of 2912. The greatest factor of 2912 is 2912.

3. What are the Factors of 2920?

Answer: Factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920. There are 16 integers that are factors of 2920. The greatest factor of 2920 is 2920.

4. How to Find the GCF of 2912 and 2920?

Answer:

Greatest Common Factor of 2912 and 2920 = 8

Step 1: Find the prime factorization of 2912

2912 = 2 x 2 x 2 x 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 2920

2920 = 2 x 2 x 2 x 5 x 73

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 2912 and 2920 is 8