Greatest Common Factor of 6987 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 6987, 6992 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6987 and 6992 is 1.

GCF(6987,6992) = 1

GCF of 6987 and 6992

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

GCF of:
and

Greatest Common Factor of 6987 and 6992

GCF of 6987 and 6992 is 1

Prime Factorization of 6987


3 6987
17 2329
137 137
1

Prime factors of 6987 are 3,17,137. Prime factorization of 6987 in exponential form is:

6987 = 31×171×1371

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 6987 and 6992 is 1

Greatest Common Factor of 6987 and 6992 by matching factors method

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1,3,17,51,137,411,2329,6987

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 6987 and 6992. The biggest common factor number is the GCF number.
So the greatest common factor 6987 and 6992 is 1.

Also check out the Least Common Multiple of 6987 and 6992

Properties of GCF 6987 and 6992

(i) The GCF of 6987 and 6992 is associative

GCF of 6987 and 6992 = GCF of 6992 and 6987

Related Greatest Common Factor of 6987

Related Greatest Common Factor of 6992

Frequently Asked Questions on GCF of 6987 and 6992

1. What is the GCF of 6987 and 6992?

Answer: GCF of 6987 and 6992 is 1.

2. What are the Factors of 6987?

Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.

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 6987 and 6992?

Answer:

Greatest Common Factor of 6987 and 6992 = 1

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

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 = = 1

Step 4: Therefore, the greatest common factor of 6987 and 6992 is 1