What is the Greatest Common Factor of 6986 and 7004?

Greatest common factor (GCF) of 6986 and 7004 is 2.

GCF(6986,7004) = 2

We will now calculate the prime factors of 6986 and 7004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6986 and 7004.

How to find the GCF of 6986 and 7004?

We will first find the prime factorization of 6986 and 7004. After we will calculate the factors of 6986 and 7004 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 7004

Prime factors of 7004 are 2, 17, 103. Prime factorization of 7004 in exponential form is:

7004 = 2² × 17¹ × 103¹

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 7004

List of positive integer factors of 7004 that divides 6986 without a remainder.

1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6986 and 7004. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 7004 is 2.

Also check out the Least Common Multiple of 6986 and 7004