What is the Greatest Common Factor of 93021 and 93039?

Greatest common factor (GCF) of 93021 and 93039 is 3.

GCF(93021,93039) = 3

We will now calculate the prime factors of 93021 and 93039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93021 and 93039.

How to find the GCF of 93021 and 93039?

We will first find the prime factorization of 93021 and 93039. After we will calculate the factors of 93021 and 93039 and find the biggest common factor number .

Step-1: Prime Factorization of 93021

Prime factors of 93021 are 3, 101, 307. Prime factorization of 93021 in exponential form is:

93021 = 3¹ × 101¹ × 307¹

Step-2: Prime Factorization of 93039

Prime factors of 93039 are 3, 31013. Prime factorization of 93039 in exponential form is:

93039 = 3¹ × 31013¹

Step-3: Factors of 93021

List of positive integer factors of 93021 that divides 93021 without a remainder.

1, 3, 101, 303, 307, 921, 31007

Step-4: Factors of 93039

List of positive integer factors of 93039 that divides 93021 without a remainder.

1, 3, 31013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93021 and 93039. The biggest common factor number is the GCF number.
So the greatest common factor 93021 and 93039 is 3.

Also check out the Least Common Multiple of 93021 and 93039