What is the Greatest Common Factor of 12972 and 12990?

Greatest common factor (GCF) of 12972 and 12990 is 6.

GCF(12972,12990) = 6

We will now calculate the prime factors of 12972 and 12990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12972 and 12990.

How to find the GCF of 12972 and 12990?

We will first find the prime factorization of 12972 and 12990. After we will calculate the factors of 12972 and 12990 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 12990

Prime factors of 12990 are 2, 3, 5, 433. Prime factorization of 12990 in exponential form is:

12990 = 2¹ × 3¹ × 5¹ × 433¹

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 12990

List of positive integer factors of 12990 that divides 12972 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 433, 866, 1299, 2165, 2598, 4330, 6495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12972 and 12990. The biggest common factor number is the GCF number.
So the greatest common factor 12972 and 12990 is 6.

Also check out the Least Common Multiple of 12972 and 12990