Greatest Common Factor of 6986 and 6992

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 6986, 6992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6986 and 6992 is 2.

GCF(6986,6992) = 2

GCF of 6986 and 6992

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

GCF of:
and

Greatest Common Factor of 6986 and 6992

GCF of 6986 and 6992 is 2

Prime Factorization of 6986


2 6986
7 3493
499 499
1

Prime factors of 6986 are 2,7,499. Prime factorization of 6986 in exponential form is:

6986 = 21×71×4991

Prime Factorization of 6992


2 6992
2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 6992 are 2,19,23. Prime factorization of 6992 in exponential form is:

6992 = 24×191×231

∴ So by taking common prime factors GCF of 6986 and 6992 is 2

Greatest Common Factor of 6986 and 6992 by matching factors method

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1,2,7,14,499,998,3493,6986

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992

Greatest Common Factor

We found the factors and prime factorization of 6986 and 6992. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 6992 is 2.

Also check out the Least Common Multiple of 6986 and 6992

Properties of GCF 6986 and 6992

(i) The GCF of 6986 and 6992 is associative

GCF of 6986 and 6992 = GCF of 6992 and 6986

Related Greatest Common Factor of 6986

Related Greatest Common Factor of 6992

Frequently Asked Questions on GCF of 6986 and 6992

1. What is the GCF of 6986 and 6992?

Answer: GCF of 6986 and 6992 is 2.

2. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

3. What are the Factors of 6992?

Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.

4. How to Find the GCF of 6986 and 6992?

Answer:

Greatest Common Factor of 6986 and 6992 = 2

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6992

6992 = 2 x 2 x 2 x 2 x 19 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6986 and 6992 is 2