What is the Greatest Common Factor of 42114 and 42123?

Greatest common factor (GCF) of 42114 and 42123 is 3.

GCF(42114,42123) = 3

We will now calculate the prime factors of 42114 and 42123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42114 and 42123.

How to find the GCF of 42114 and 42123?

We will first find the prime factorization of 42114 and 42123. After we will calculate the factors of 42114 and 42123 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 42123

Prime factors of 42123 are 3, 19, 739. Prime factorization of 42123 in exponential form is:

42123 = 3¹ × 19¹ × 739¹

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 42123

List of positive integer factors of 42123 that divides 42114 without a remainder.

1, 3, 19, 57, 739, 2217, 14041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42114 and 42123. The biggest common factor number is the GCF number.
So the greatest common factor 42114 and 42123 is 3.

Also check out the Least Common Multiple of 42114 and 42123