Greatest Common Factor of 7980 and 7986

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 7980, 7986 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7980 and 7986 is 6.

GCF(7980,7986) = 6

GCF of 7980 and 7986

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

GCF of:
and

Greatest Common Factor of 7980 and 7986

GCF of 7980 and 7986 is 6

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

Prime Factorization of 7986


2 7986
3 3993
11 1331
11 121
11 11
1

Prime factors of 7986 are 2,3,11. Prime factorization of 7986 in exponential form is:

7986 = 21×31×113

∴ So by taking common prime factors GCF of 7980 and 7986 is 6

Greatest Common Factor of 7980 and 7986 by matching factors method

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

Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986

Greatest Common Factor

We found the factors and prime factorization of 7980 and 7986. The biggest common factor number is the GCF number.
So the greatest common factor 7980 and 7986 is 6.

Also check out the Least Common Multiple of 7980 and 7986

Properties of GCF 7980 and 7986

(i) The GCF of 7980 and 7986 is associative

GCF of 7980 and 7986 = GCF of 7986 and 7980

Related Greatest Common Factor of 7980

Related Greatest Common Factor of 7986

Frequently Asked Questions on GCF of 7980 and 7986

1. What is the GCF of 7980 and 7986?

Answer: GCF of 7980 and 7986 is 6.

2. 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.

3. What are the Factors of 7986?

Answer: Factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986. There are 16 integers that are factors of 7986. The greatest factor of 7986 is 7986.

4. How to Find the GCF of 7980 and 7986?

Answer:

Greatest Common Factor of 7980 and 7986 = 6

Step 1: Find the prime factorization of 7980

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

Step 2: Find the prime factorization of 7986

7986 = 2 x 3 x 11 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7980 and 7986 is 6