What is the Greatest Common Factor of 42123 and 42132?

Greatest common factor (GCF) of 42123 and 42132 is 3.

GCF(42123,42132) = 3

We will now calculate the prime factors of 42123 and 42132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42123 and 42132.

How to find the GCF of 42123 and 42132?

We will first find the prime factorization of 42123 and 42132. After we will calculate the factors of 42123 and 42132 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 42132

Prime factors of 42132 are 2, 3, 3511. Prime factorization of 42132 in exponential form is:

42132 = 2² × 3¹ × 3511¹

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 42132

List of positive integer factors of 42132 that divides 42123 without a remainder.

1, 2, 3, 4, 6, 12, 3511, 7022, 10533, 14044, 21066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42123 and 42132. The biggest common factor number is the GCF number.
So the greatest common factor 42123 and 42132 is 3.

Also check out the Least Common Multiple of 42123 and 42132