Greatest Common Factor of 4916 and 4924

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 4916, 4924 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4916 and 4924 is 4.

GCF(4916,4924) = 4

GCF of 4916 and 4924

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

GCF of:
and

Greatest Common Factor of 4916 and 4924

GCF of 4916 and 4924 is 4

Prime Factorization of 4916


2 4916
2 2458
1229 1229
1

Prime factors of 4916 are 2,1229. Prime factorization of 4916 in exponential form is:

4916 = 22×12291

Prime Factorization of 4924


2 4924
2 2462
1231 1231
1

Prime factors of 4924 are 2,1231. Prime factorization of 4924 in exponential form is:

4924 = 22×12311

∴ So by taking common prime factors GCF of 4916 and 4924 is 4

Greatest Common Factor of 4916 and 4924 by matching factors method

Factors of 4916

List of positive integer factors of 4916 that divides 4916 without a remainder.

1,2,4,1229,2458,4916

Factors of 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1,2,4,1231,2462,4924

Greatest Common Factor

We found the factors and prime factorization of 4916 and 4924. The biggest common factor number is the GCF number.
So the greatest common factor 4916 and 4924 is 4.

Also check out the Least Common Multiple of 4916 and 4924

Properties of GCF 4916 and 4924

(i) The GCF of 4916 and 4924 is associative

GCF of 4916 and 4924 = GCF of 4924 and 4916

Related Greatest Common Factor of 4916

Related Greatest Common Factor of 4924

Frequently Asked Questions on GCF of 4916 and 4924

1. What is the GCF of 4916 and 4924?

Answer: GCF of 4916 and 4924 is 4.

2. What are the Factors of 4916?

Answer: Factors of 4916 are 1, 2, 4, 1229, 2458, 4916. There are 6 integers that are factors of 4916. The greatest factor of 4916 is 4916.

3. What are the Factors of 4924?

Answer: Factors of 4924 are 1, 2, 4, 1231, 2462, 4924. There are 6 integers that are factors of 4924. The greatest factor of 4924 is 4924.

4. How to Find the GCF of 4916 and 4924?

Answer:

Greatest Common Factor of 4916 and 4924 = 4

Step 1: Find the prime factorization of 4916

4916 = 2 x 2 x 1229

Step 2: Find the prime factorization of 4924

4924 = 2 x 2 x 1231

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 4916 and 4924 is 4