What is the Greatest Common Factor of 6986 and 7006?

Greatest common factor (GCF) of 6986 and 7006 is 2.

GCF(6986,7006) = 2

We will now calculate the prime factors of 6986 and 7006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6986 and 7006.

How to find the GCF of 6986 and 7006?

We will first find the prime factorization of 6986 and 7006. After we will calculate the factors of 6986 and 7006 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 7006

Prime factors of 7006 are 2, 31, 113. Prime factorization of 7006 in exponential form is:

7006 = 2¹ × 31¹ × 113¹

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 7006

List of positive integer factors of 7006 that divides 6986 without a remainder.

1, 2, 31, 62, 113, 226, 3503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6986 and 7006. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 7006 is 2.

Also check out the Least Common Multiple of 6986 and 7006