Greatest Common Factor of 4932 and 4936

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 4932, 4936 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4932 and 4936 is 4.

GCF(4932,4936) = 4

GCF of 4932 and 4936

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

GCF of:
and

Greatest Common Factor of 4932 and 4936

GCF of 4932 and 4936 is 4

Prime Factorization of 4932


2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 4932 are 2,3,137. Prime factorization of 4932 in exponential form is:

4932 = 22×32×1371

Prime Factorization of 4936


2 4936
2 2468
2 1234
617 617
1

Prime factors of 4936 are 2,617. Prime factorization of 4936 in exponential form is:

4936 = 23×6171

∴ So by taking common prime factors GCF of 4932 and 4936 is 4

Greatest Common Factor of 4932 and 4936 by matching factors method

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Factors of 4936

List of positive integer factors of 4936 that divides 4936 without a remainder.

1,2,4,8,617,1234,2468,4936

Greatest Common Factor

We found the factors and prime factorization of 4932 and 4936. The biggest common factor number is the GCF number.
So the greatest common factor 4932 and 4936 is 4.

Also check out the Least Common Multiple of 4932 and 4936

Properties of GCF 4932 and 4936

(i) The GCF of 4932 and 4936 is associative

GCF of 4932 and 4936 = GCF of 4936 and 4932

Related Greatest Common Factor of 4932

Related Greatest Common Factor of 4936

Frequently Asked Questions on GCF of 4932 and 4936

1. What is the GCF of 4932 and 4936?

Answer: GCF of 4932 and 4936 is 4.

2. What are the Factors of 4932?

Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.

3. What are the Factors of 4936?

Answer: Factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936. There are 8 integers that are factors of 4936. The greatest factor of 4936 is 4936.

4. How to Find the GCF of 4932 and 4936?

Answer:

Greatest Common Factor of 4932 and 4936 = 4

Step 1: Find the prime factorization of 4932

4932 = 2 x 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 4936

4936 = 2 x 2 x 2 x 617

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 4932 and 4936 is 4