What is the Greatest Common Factor of 12698 and 12712?

Greatest common factor (GCF) of 12698 and 12712 is 14.

GCF(12698,12712) = 14

We will now calculate the prime factors of 12698 and 12712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12698 and 12712.

How to find the GCF of 12698 and 12712?

We will first find the prime factorization of 12698 and 12712. After we will calculate the factors of 12698 and 12712 and find the biggest common factor number .

Step-1: Prime Factorization of 12698

Prime factors of 12698 are 2, 7, 907. Prime factorization of 12698 in exponential form is:

12698 = 2¹ × 7¹ × 907¹

Step-2: Prime Factorization of 12712

Prime factors of 12712 are 2, 7, 227. Prime factorization of 12712 in exponential form is:

12712 = 2³ × 7¹ × 227¹

Step-3: Factors of 12698

List of positive integer factors of 12698 that divides 12698 without a remainder.

1, 2, 7, 14, 907, 1814, 6349

Step-4: Factors of 12712

List of positive integer factors of 12712 that divides 12698 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 227, 454, 908, 1589, 1816, 3178, 6356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12698 and 12712. The biggest common factor number is the GCF number.
So the greatest common factor 12698 and 12712 is 14.

Also check out the Least Common Multiple of 12698 and 12712