Greatest Common Factor of 6992 and 6997

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 6992, 6997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6992 and 6997 is 1.

GCF(6992,6997) = 1

GCF of 6992 and 6997

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

GCF of:
and

Greatest Common Factor of 6992 and 6997

GCF of 6992 and 6997 is 1

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

Prime Factorization of 6997


6997 6997
1

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

∴ So by taking common prime factors GCF of 6992 and 6997 is 1

Greatest Common Factor of 6992 and 6997 by matching factors method

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

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1,6997

Greatest Common Factor

We found the factors and prime factorization of 6992 and 6997. The biggest common factor number is the GCF number.
So the greatest common factor 6992 and 6997 is 1.

Also check out the Least Common Multiple of 6992 and 6997

Properties of GCF 6992 and 6997

(i) The GCF of 6992 and 6997 is associative

GCF of 6992 and 6997 = GCF of 6997 and 6992

Related Greatest Common Factor of 6992

Related Greatest Common Factor of 6997

Frequently Asked Questions on GCF of 6992 and 6997

1. What is the GCF of 6992 and 6997?

Answer: GCF of 6992 and 6997 is 1.

2. 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.

3. What are the Factors of 6997?

Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.

4. How to Find the GCF of 6992 and 6997?

Answer:

Greatest Common Factor of 6992 and 6997 = 1

Step 1: Find the prime factorization of 6992

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

Step 2: Find the prime factorization of 6997

6997 = 6997

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 6992 and 6997 is 1