What is the Greatest Common Factor of 12972 and 12989?

Greatest common factor (GCF) of 12972 and 12989 is 1.

GCF(12972,12989) = 1

We will now calculate the prime factors of 12972 and 12989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12972 and 12989.

How to find the GCF of 12972 and 12989?

We will first find the prime factorization of 12972 and 12989. After we will calculate the factors of 12972 and 12989 and find the biggest common factor number .

Step-1: Prime Factorization of 12972

Prime factors of 12972 are 2, 3, 23, 47. Prime factorization of 12972 in exponential form is:

12972 = 2² × 3¹ × 23¹ × 47¹

Step-2: Prime Factorization of 12989

Prime factors of 12989 are 31, 419. Prime factorization of 12989 in exponential form is:

12989 = 31¹ × 419¹

Step-3: Factors of 12972

List of positive integer factors of 12972 that divides 12972 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 47, 69, 92, 94, 138, 141, 188, 276, 282, 564, 1081, 2162, 3243, 4324, 6486

Step-4: Factors of 12989

List of positive integer factors of 12989 that divides 12972 without a remainder.

1, 31, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12972 and 12989. The biggest common factor number is the GCF number.
So the greatest common factor 12972 and 12989 is 1.

Also check out the Least Common Multiple of 12972 and 12989