What is the Greatest Common Factor of 42189 and 42204?

Greatest common factor (GCF) of 42189 and 42204 is 3.

GCF(42189,42204) = 3

We will now calculate the prime factors of 42189 and 42204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42189 and 42204.

How to find the GCF of 42189 and 42204?

We will first find the prime factorization of 42189 and 42204. After we will calculate the factors of 42189 and 42204 and find the biggest common factor number .

Step-1: Prime Factorization of 42189

Prime factors of 42189 are 3, 7, 41. Prime factorization of 42189 in exponential form is:

42189 = 3¹ × 7³ × 41¹

Step-2: Prime Factorization of 42204

Prime factors of 42204 are 2, 3, 3517. Prime factorization of 42204 in exponential form is:

42204 = 2² × 3¹ × 3517¹

Step-3: Factors of 42189

List of positive integer factors of 42189 that divides 42189 without a remainder.

1, 3, 7, 21, 41, 49, 123, 147, 287, 343, 861, 1029, 2009, 6027, 14063

Step-4: Factors of 42204

List of positive integer factors of 42204 that divides 42189 without a remainder.

1, 2, 3, 4, 6, 12, 3517, 7034, 10551, 14068, 21102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42189 and 42204. The biggest common factor number is the GCF number.
So the greatest common factor 42189 and 42204 is 3.

Also check out the Least Common Multiple of 42189 and 42204