What is the Greatest Common Factor of 93660 and 93675?

Greatest common factor (GCF) of 93660 and 93675 is 15.

GCF(93660,93675) = 15

We will now calculate the prime factors of 93660 and 93675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93660 and 93675.

How to find the GCF of 93660 and 93675?

We will first find the prime factorization of 93660 and 93675. After we will calculate the factors of 93660 and 93675 and find the biggest common factor number .

Step-1: Prime Factorization of 93660

Prime factors of 93660 are 2, 3, 5, 7, 223. Prime factorization of 93660 in exponential form is:

93660 = 2² × 3¹ × 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 93675

Prime factors of 93675 are 3, 5, 1249. Prime factorization of 93675 in exponential form is:

93675 = 3¹ × 5² × 1249¹

Step-3: Factors of 93660

List of positive integer factors of 93660 that divides 93660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 223, 420, 446, 669, 892, 1115, 1338, 1561, 2230, 2676, 3122, 3345, 4460, 4683, 6244, 6690, 7805, 9366, 13380, 15610, 18732, 23415, 31220, 46830

Step-4: Factors of 93675

List of positive integer factors of 93675 that divides 93660 without a remainder.

1, 3, 5, 15, 25, 75, 1249, 3747, 6245, 18735, 31225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93660 and 93675. The biggest common factor number is the GCF number.
So the greatest common factor 93660 and 93675 is 15.

Also check out the Least Common Multiple of 93660 and 93675