What is the Greatest Common Factor of 6986 and 6998?

Greatest common factor (GCF) of 6986 and 6998 is 2.

GCF(6986,6998) = 2

We will now calculate the prime factors of 6986 and 6998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6986 and 6998.

How to find the GCF of 6986 and 6998?

We will first find the prime factorization of 6986 and 6998. After we will calculate the factors of 6986 and 6998 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 6998

Prime factors of 6998 are 2, 3499. Prime factorization of 6998 in exponential form is:

6998 = 2¹ × 3499¹

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 6998

List of positive integer factors of 6998 that divides 6986 without a remainder.

1, 2, 3499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6986 and 6998. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 6998 is 2.

Also check out the Least Common Multiple of 6986 and 6998