What is the Greatest Common Factor of 92991 and 93006?

Greatest common factor (GCF) of 92991 and 93006 is 3.

GCF(92991,93006) = 3

We will now calculate the prime factors of 92991 and 93006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92991 and 93006.

How to find the GCF of 92991 and 93006?

We will first find the prime factorization of 92991 and 93006. After we will calculate the factors of 92991 and 93006 and find the biggest common factor number .

Step-1: Prime Factorization of 92991

Prime factors of 92991 are 3, 139, 223. Prime factorization of 92991 in exponential form is:

92991 = 3¹ × 139¹ × 223¹

Step-2: Prime Factorization of 93006

Prime factors of 93006 are 2, 3, 5167. Prime factorization of 93006 in exponential form is:

93006 = 2¹ × 3² × 5167¹

Step-3: Factors of 92991

List of positive integer factors of 92991 that divides 92991 without a remainder.

1, 3, 139, 223, 417, 669, 30997

Step-4: Factors of 93006

List of positive integer factors of 93006 that divides 92991 without a remainder.

1, 2, 3, 6, 9, 18, 5167, 10334, 15501, 31002, 46503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92991 and 93006. The biggest common factor number is the GCF number.
So the greatest common factor 92991 and 93006 is 3.

Also check out the Least Common Multiple of 92991 and 93006