What is the Greatest Common Factor of 12972 and 12992?

Greatest common factor (GCF) of 12972 and 12992 is 4.

GCF(12972,12992) = 4

We will now calculate the prime factors of 12972 and 12992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12972 and 12992.

How to find the GCF of 12972 and 12992?

We will first find the prime factorization of 12972 and 12992. After we will calculate the factors of 12972 and 12992 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 12992

Prime factors of 12992 are 2, 7, 29. Prime factorization of 12992 in exponential form is:

12992 = 2⁶ × 7¹ × 29¹

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 12992

List of positive integer factors of 12992 that divides 12972 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 64, 112, 116, 203, 224, 232, 406, 448, 464, 812, 928, 1624, 1856, 3248, 6496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12972 and 12992. The biggest common factor number is the GCF number.
So the greatest common factor 12972 and 12992 is 4.

Also check out the Least Common Multiple of 12972 and 12992