What is the Greatest Common Factor of 42129 and 42144?

Greatest common factor (GCF) of 42129 and 42144 is 3.

GCF(42129,42144) = 3

We will now calculate the prime factors of 42129 and 42144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42129 and 42144.

How to find the GCF of 42129 and 42144?

We will first find the prime factorization of 42129 and 42144. After we will calculate the factors of 42129 and 42144 and find the biggest common factor number .

Step-1: Prime Factorization of 42129

Prime factors of 42129 are 3, 31, 151. Prime factorization of 42129 in exponential form is:

42129 = 3² × 31¹ × 151¹

Step-2: Prime Factorization of 42144

Prime factors of 42144 are 2, 3, 439. Prime factorization of 42144 in exponential form is:

42144 = 2⁵ × 3¹ × 439¹

Step-3: Factors of 42129

List of positive integer factors of 42129 that divides 42129 without a remainder.

1, 3, 9, 31, 93, 151, 279, 453, 1359, 4681, 14043

Step-4: Factors of 42144

List of positive integer factors of 42144 that divides 42129 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 439, 878, 1317, 1756, 2634, 3512, 5268, 7024, 10536, 14048, 21072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42129 and 42144. The biggest common factor number is the GCF number.
So the greatest common factor 42129 and 42144 is 3.

Also check out the Least Common Multiple of 42129 and 42144