What is the Greatest Common Factor of 6986 and 6997?

Greatest common factor (GCF) of 6986 and 6997 is 1.

GCF(6986,6997) = 1

We will now calculate the prime factors of 6986 and 6997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6986 and 6997.

How to find the GCF of 6986 and 6997?

We will first find the prime factorization of 6986 and 6997. After we will calculate the factors of 6986 and 6997 and find the biggest common factor number .

Step-1: Prime Factorization of 6986

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

6986 = 2¹ × 7¹ × 499¹

Step-2: Prime Factorization of 6997

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

6997 = 6997¹

Step-3: Factors of 6986

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

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

Step-4: Factors of 6997

List of positive integer factors of 6997 that divides 6986 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6986 and 6997. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 6997 is 1.

Also check out the Least Common Multiple of 6986 and 6997