Greatest Common Factor of 4972 and 4976

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 4972, 4976 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4972 and 4976 is 4.

GCF(4972,4976) = 4

GCF of 4972 and 4976

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

GCF of:
and

Greatest Common Factor of 4972 and 4976

GCF of 4972 and 4976 is 4

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

Prime Factorization of 4976


2 4976
2 2488
2 1244
2 622
311 311
1

Prime factors of 4976 are 2,311. Prime factorization of 4976 in exponential form is:

4976 = 24×3111

∴ So by taking common prime factors GCF of 4972 and 4976 is 4

Greatest Common Factor of 4972 and 4976 by matching factors method

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

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1,2,4,8,16,311,622,1244,2488,4976

Greatest Common Factor

We found the factors and prime factorization of 4972 and 4976. The biggest common factor number is the GCF number.
So the greatest common factor 4972 and 4976 is 4.

Also check out the Least Common Multiple of 4972 and 4976

Properties of GCF 4972 and 4976

(i) The GCF of 4972 and 4976 is associative

GCF of 4972 and 4976 = GCF of 4976 and 4972

Related Greatest Common Factor of 4972

Related Greatest Common Factor of 4976

Frequently Asked Questions on GCF of 4972 and 4976

1. What is the GCF of 4972 and 4976?

Answer: GCF of 4972 and 4976 is 4.

2. 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.

3. What are the Factors of 4976?

Answer: Factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976. There are 10 integers that are factors of 4976. The greatest factor of 4976 is 4976.

4. How to Find the GCF of 4972 and 4976?

Answer:

Greatest Common Factor of 4972 and 4976 = 4

Step 1: Find the prime factorization of 4972

4972 = 2 x 2 x 11 x 113

Step 2: Find the prime factorization of 4976

4976 = 2 x 2 x 2 x 2 x 311

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 4972 and 4976 is 4