Greatest Common Factor of 7972 and 7980

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 7972, 7980 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7972 and 7980 is 4.

GCF(7972,7980) = 4

GCF of 7972 and 7980

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

GCF of:
and

Greatest Common Factor of 7972 and 7980

GCF of 7972 and 7980 is 4

Prime Factorization of 7972


2 7972
2 3986
1993 1993
1

Prime factors of 7972 are 2,1993. Prime factorization of 7972 in exponential form is:

7972 = 22×19931

Prime Factorization of 7980


2 7980
2 3990
3 1995
5 665
7 133
19 19
1

Prime factors of 7980 are 2,3,5,7,19. Prime factorization of 7980 in exponential form is:

7980 = 22×31×51×71×191

∴ So by taking common prime factors GCF of 7972 and 7980 is 4

Greatest Common Factor of 7972 and 7980 by matching factors method

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1,2,4,1993,3986,7972

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors and prime factorization of 7972 and 7980. The biggest common factor number is the GCF number.
So the greatest common factor 7972 and 7980 is 4.

Also check out the Least Common Multiple of 7972 and 7980

Properties of GCF 7972 and 7980

(i) The GCF of 7972 and 7980 is associative

GCF of 7972 and 7980 = GCF of 7980 and 7972

Related Greatest Common Factor of 7972

Related Greatest Common Factor of 7980

Frequently Asked Questions on GCF of 7972 and 7980

1. What is the GCF of 7972 and 7980?

Answer: GCF of 7972 and 7980 is 4.

2. What are the Factors of 7972?

Answer: Factors of 7972 are 1, 2, 4, 1993, 3986, 7972. There are 6 integers that are factors of 7972. The greatest factor of 7972 is 7972.

3. What are the Factors of 7980?

Answer: Factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980. There are 48 integers that are factors of 7980. The greatest factor of 7980 is 7980.

4. How to Find the GCF of 7972 and 7980?

Answer:

Greatest Common Factor of 7972 and 7980 = 4

Step 1: Find the prime factorization of 7972

7972 = 2 x 2 x 1993

Step 2: Find the prime factorization of 7980

7980 = 2 x 2 x 3 x 5 x 7 x 19

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 7972 and 7980 is 4