What is the Greatest Common Factor of 31128 and 31146?

Greatest common factor (GCF) of 31128 and 31146 is 6.

GCF(31128,31146) = 6

We will now calculate the prime factors of 31128 and 31146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31128 and 31146.

How to find the GCF of 31128 and 31146?

We will first find the prime factorization of 31128 and 31146. After we will calculate the factors of 31128 and 31146 and find the biggest common factor number .

Step-1: Prime Factorization of 31128

Prime factors of 31128 are 2, 3, 1297. Prime factorization of 31128 in exponential form is:

31128 = 2³ × 3¹ × 1297¹

Step-2: Prime Factorization of 31146

Prime factors of 31146 are 2, 3, 29, 179. Prime factorization of 31146 in exponential form is:

31146 = 2¹ × 3¹ × 29¹ × 179¹

Step-3: Factors of 31128

List of positive integer factors of 31128 that divides 31128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1297, 2594, 3891, 5188, 7782, 10376, 15564

Step-4: Factors of 31146

List of positive integer factors of 31146 that divides 31128 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 179, 358, 537, 1074, 5191, 10382, 15573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31128 and 31146. The biggest common factor number is the GCF number.
So the greatest common factor 31128 and 31146 is 6.

Also check out the Least Common Multiple of 31128 and 31146