What is the Greatest Common Factor of 42309 and 42327?

Greatest common factor (GCF) of 42309 and 42327 is 9.

GCF(42309,42327) = 9

We will now calculate the prime factors of 42309 and 42327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42309 and 42327.

How to find the GCF of 42309 and 42327?

We will first find the prime factorization of 42309 and 42327. After we will calculate the factors of 42309 and 42327 and find the biggest common factor number .

Step-1: Prime Factorization of 42309

Prime factors of 42309 are 3, 1567. Prime factorization of 42309 in exponential form is:

42309 = 3³ × 1567¹

Step-2: Prime Factorization of 42327

Prime factors of 42327 are 3, 4703. Prime factorization of 42327 in exponential form is:

42327 = 3² × 4703¹

Step-3: Factors of 42309

List of positive integer factors of 42309 that divides 42309 without a remainder.

1, 3, 9, 27, 1567, 4701, 14103

Step-4: Factors of 42327

List of positive integer factors of 42327 that divides 42309 without a remainder.

1, 3, 9, 4703, 14109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42309 and 42327. The biggest common factor number is the GCF number.
So the greatest common factor 42309 and 42327 is 9.

Also check out the Least Common Multiple of 42309 and 42327