What is the Greatest Common Factor of 39213 and 39231?

Greatest common factor (GCF) of 39213 and 39231 is 9.

GCF(39213,39231) = 9

We will now calculate the prime factors of 39213 and 39231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39213 and 39231.

How to find the GCF of 39213 and 39231?

We will first find the prime factorization of 39213 and 39231. After we will calculate the factors of 39213 and 39231 and find the biggest common factor number .

Step-1: Prime Factorization of 39213

Prime factors of 39213 are 3, 4357. Prime factorization of 39213 in exponential form is:

39213 = 3² × 4357¹

Step-2: Prime Factorization of 39231

Prime factors of 39231 are 3, 1453. Prime factorization of 39231 in exponential form is:

39231 = 3³ × 1453¹

Step-3: Factors of 39213

List of positive integer factors of 39213 that divides 39213 without a remainder.

1, 3, 9, 4357, 13071

Step-4: Factors of 39231

List of positive integer factors of 39231 that divides 39213 without a remainder.

1, 3, 9, 27, 1453, 4359, 13077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39213 and 39231. The biggest common factor number is the GCF number.
So the greatest common factor 39213 and 39231 is 9.

Also check out the Least Common Multiple of 39213 and 39231