What is the Greatest Common Factor of 12982 and 12998?

Greatest common factor (GCF) of 12982 and 12998 is 2.

GCF(12982,12998) = 2

We will now calculate the prime factors of 12982 and 12998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12982 and 12998.

How to find the GCF of 12982 and 12998?

We will first find the prime factorization of 12982 and 12998. After we will calculate the factors of 12982 and 12998 and find the biggest common factor number .

Step-1: Prime Factorization of 12982

Prime factors of 12982 are 2, 6491. Prime factorization of 12982 in exponential form is:

12982 = 2¹ × 6491¹

Step-2: Prime Factorization of 12998

Prime factors of 12998 are 2, 67, 97. Prime factorization of 12998 in exponential form is:

12998 = 2¹ × 67¹ × 97¹

Step-3: Factors of 12982

List of positive integer factors of 12982 that divides 12982 without a remainder.

1, 2, 6491

Step-4: Factors of 12998

List of positive integer factors of 12998 that divides 12982 without a remainder.

1, 2, 67, 97, 134, 194, 6499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12982 and 12998. The biggest common factor number is the GCF number.
So the greatest common factor 12982 and 12998 is 2.

Also check out the Least Common Multiple of 12982 and 12998