Greatest Common Factor of 4964 and 4972

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 4964, 4972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4964 and 4972 is 4.

GCF(4964,4972) = 4

GCF of 4964 and 4972

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

GCF of:
and

Greatest Common Factor of 4964 and 4972

GCF of 4964 and 4972 is 4

Prime Factorization of 4964


2 4964
2 2482
17 1241
73 73
1

Prime factors of 4964 are 2,17,73. Prime factorization of 4964 in exponential form is:

4964 = 22×171×731

Prime Factorization of 4972


2 4972
2 2486
11 1243
113 113
1

Prime factors of 4972 are 2,11,113. Prime factorization of 4972 in exponential form is:

4972 = 22×111×1131

∴ So by taking common prime factors GCF of 4964 and 4972 is 4

Greatest Common Factor of 4964 and 4972 by matching factors method

Factors of 4964

List of positive integer factors of 4964 that divides 4964 without a remainder.

1,2,4,17,34,68,73,146,292,1241,2482,4964

Factors of 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1,2,4,11,22,44,113,226,452,1243,2486,4972

Greatest Common Factor

We found the factors and prime factorization of 4964 and 4972. The biggest common factor number is the GCF number.
So the greatest common factor 4964 and 4972 is 4.

Also check out the Least Common Multiple of 4964 and 4972

Properties of GCF 4964 and 4972

(i) The GCF of 4964 and 4972 is associative

GCF of 4964 and 4972 = GCF of 4972 and 4964

Related Greatest Common Factor of 4964

Related Greatest Common Factor of 4972

Frequently Asked Questions on GCF of 4964 and 4972

1. What is the GCF of 4964 and 4972?

Answer: GCF of 4964 and 4972 is 4.

2. What are the Factors of 4964?

Answer: Factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. There are 12 integers that are factors of 4964. The greatest factor of 4964 is 4964.

3. What are the Factors of 4972?

Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.

4. How to Find the GCF of 4964 and 4972?

Answer:

Greatest Common Factor of 4964 and 4972 = 4

Step 1: Find the prime factorization of 4964

4964 = 2 x 2 x 17 x 73

Step 2: Find the prime factorization of 4972

4972 = 2 x 2 x 11 x 113

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 4964 and 4972 is 4