What is the Greatest Common Factor of 6987 and 7004?

Greatest common factor (GCF) of 6987 and 7004 is 17.

GCF(6987,7004) = 17

We will now calculate the prime factors of 6987 and 7004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6987 and 7004.

How to find the GCF of 6987 and 7004?

We will first find the prime factorization of 6987 and 7004. After we will calculate the factors of 6987 and 7004 and find the biggest common factor number .

Step-1: Prime Factorization of 6987

Prime factors of 6987 are 3, 17, 137. Prime factorization of 6987 in exponential form is:

6987 = 3¹ × 17¹ × 137¹

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 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1, 3, 17, 51, 137, 411, 2329

Step-4: Factors of 7004

List of positive integer factors of 7004 that divides 6987 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 6987 and 7004. The biggest common factor number is the GCF number.
So the greatest common factor 6987 and 7004 is 17.

Also check out the Least Common Multiple of 6987 and 7004