What is the Greatest Common Factor of 93270 and 93276?

Greatest common factor (GCF) of 93270 and 93276 is 6.

GCF(93270,93276) = 6

We will now calculate the prime factors of 93270 and 93276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93270 and 93276.

How to find the GCF of 93270 and 93276?

We will first find the prime factorization of 93270 and 93276. After we will calculate the factors of 93270 and 93276 and find the biggest common factor number .

Step-1: Prime Factorization of 93270

Prime factors of 93270 are 2, 3, 5, 3109. Prime factorization of 93270 in exponential form is:

93270 = 2¹ × 3¹ × 5¹ × 3109¹

Step-2: Prime Factorization of 93276

Prime factors of 93276 are 2, 3, 2591. Prime factorization of 93276 in exponential form is:

93276 = 2² × 3² × 2591¹

Step-3: Factors of 93270

List of positive integer factors of 93270 that divides 93270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3109, 6218, 9327, 15545, 18654, 31090, 46635

Step-4: Factors of 93276

List of positive integer factors of 93276 that divides 93270 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2591, 5182, 7773, 10364, 15546, 23319, 31092, 46638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93270 and 93276. The biggest common factor number is the GCF number.
So the greatest common factor 93270 and 93276 is 6.

Also check out the Least Common Multiple of 93270 and 93276