Greatest Common Factor of 5972 and 5976

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 5972, 5976 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5972 and 5976 is 4.

GCF(5972,5976) = 4

GCF of 5972 and 5976

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

GCF of:
and

Greatest Common Factor of 5972 and 5976

GCF of 5972 and 5976 is 4

Prime Factorization of 5972


2 5972
2 2986
1493 1493
1

Prime factors of 5972 are 2,1493. Prime factorization of 5972 in exponential form is:

5972 = 22×14931

Prime Factorization of 5976


2 5976
2 2988
2 1494
3 747
3 249
83 83
1

Prime factors of 5976 are 2,3,83. Prime factorization of 5976 in exponential form is:

5976 = 23×32×831

∴ So by taking common prime factors GCF of 5972 and 5976 is 4

Greatest Common Factor of 5972 and 5976 by matching factors method

Factors of 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1,2,4,1493,2986,5972

Factors of 5976

List of positive integer factors of 5976 that divides 5976 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976

Greatest Common Factor

We found the factors and prime factorization of 5972 and 5976. The biggest common factor number is the GCF number.
So the greatest common factor 5972 and 5976 is 4.

Also check out the Least Common Multiple of 5972 and 5976

Properties of GCF 5972 and 5976

(i) The GCF of 5972 and 5976 is associative

GCF of 5972 and 5976 = GCF of 5976 and 5972

Related Greatest Common Factor of 5972

Related Greatest Common Factor of 5976

Frequently Asked Questions on GCF of 5972 and 5976

1. What is the GCF of 5972 and 5976?

Answer: GCF of 5972 and 5976 is 4.

2. What are the Factors of 5972?

Answer: Factors of 5972 are 1, 2, 4, 1493, 2986, 5972. There are 6 integers that are factors of 5972. The greatest factor of 5972 is 5972.

3. What are the Factors of 5976?

Answer: Factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976. There are 24 integers that are factors of 5976. The greatest factor of 5976 is 5976.

4. How to Find the GCF of 5972 and 5976?

Answer:

Greatest Common Factor of 5972 and 5976 = 4

Step 1: Find the prime factorization of 5972

5972 = 2 x 2 x 1493

Step 2: Find the prime factorization of 5976

5976 = 2 x 2 x 2 x 3 x 3 x 83

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 5972 and 5976 is 4