What is the Greatest Common Factor of 12972 and 12988?

Greatest common factor (GCF) of 12972 and 12988 is 4.

GCF(12972,12988) = 4

We will now calculate the prime factors of 12972 and 12988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12972 and 12988.

How to find the GCF of 12972 and 12988?

We will first find the prime factorization of 12972 and 12988. After we will calculate the factors of 12972 and 12988 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 12988

Prime factors of 12988 are 2, 17, 191. Prime factorization of 12988 in exponential form is:

12988 = 2² × 17¹ × 191¹

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 12988

List of positive integer factors of 12988 that divides 12972 without a remainder.

1, 2, 4, 17, 34, 68, 191, 382, 764, 3247, 6494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12972 and 12988. The biggest common factor number is the GCF number.
So the greatest common factor 12972 and 12988 is 4.

Also check out the Least Common Multiple of 12972 and 12988