What is the Greatest Common Factor of 42123 and 42138?

Greatest common factor (GCF) of 42123 and 42138 is 3.

GCF(42123,42138) = 3

We will now calculate the prime factors of 42123 and 42138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42123 and 42138.

How to find the GCF of 42123 and 42138?

We will first find the prime factorization of 42123 and 42138. After we will calculate the factors of 42123 and 42138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42138

Prime factors of 42138 are 2, 3, 2341. Prime factorization of 42138 in exponential form is:

42138 = 2¹ × 3² × 2341¹

Step-3: Factors of 42123

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

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

Step-4: Factors of 42138

List of positive integer factors of 42138 that divides 42123 without a remainder.

1, 2, 3, 6, 9, 18, 2341, 4682, 7023, 14046, 21069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42123 and 42138. The biggest common factor number is the GCF number.
So the greatest common factor 42123 and 42138 is 3.

Also check out the Least Common Multiple of 42123 and 42138