What is the Greatest Common Factor of 6998 and 7012?

Greatest common factor (GCF) of 6998 and 7012 is 2.

GCF(6998,7012) = 2

We will now calculate the prime factors of 6998 and 7012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6998 and 7012.

How to find the GCF of 6998 and 7012?

We will first find the prime factorization of 6998 and 7012. After we will calculate the factors of 6998 and 7012 and find the biggest common factor number .

Step-1: Prime Factorization of 6998

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

6998 = 2¹ × 3499¹

Step-2: Prime Factorization of 7012

Prime factors of 7012 are 2, 1753. Prime factorization of 7012 in exponential form is:

7012 = 2² × 1753¹

Step-3: Factors of 6998

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

1, 2, 3499

Step-4: Factors of 7012

List of positive integer factors of 7012 that divides 6998 without a remainder.

1, 2, 4, 1753, 3506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6998 and 7012. The biggest common factor number is the GCF number.
So the greatest common factor 6998 and 7012 is 2.

Also check out the Least Common Multiple of 6998 and 7012