What is the Greatest Common Factor of 42114 and 42129?

Greatest common factor (GCF) of 42114 and 42129 is 3.

GCF(42114,42129) = 3

We will now calculate the prime factors of 42114 and 42129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42114 and 42129.

How to find the GCF of 42114 and 42129?

We will first find the prime factorization of 42114 and 42129. After we will calculate the factors of 42114 and 42129 and find the biggest common factor number .

Step-1: Prime Factorization of 42114

Prime factors of 42114 are 2, 3, 7019. Prime factorization of 42114 in exponential form is:

42114 = 2¹ × 3¹ × 7019¹

Step-2: 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-3: Factors of 42114

List of positive integer factors of 42114 that divides 42114 without a remainder.

1, 2, 3, 6, 7019, 14038, 21057

Step-4: Factors of 42129

List of positive integer factors of 42129 that divides 42114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42114 and 42129. The biggest common factor number is the GCF number.
So the greatest common factor 42114 and 42129 is 3.

Also check out the Least Common Multiple of 42114 and 42129