What is the Greatest Common Factor of 93660 and 93672?

Greatest common factor (GCF) of 93660 and 93672 is 12.

GCF(93660,93672) = 12

We will now calculate the prime factors of 93660 and 93672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93660 and 93672.

How to find the GCF of 93660 and 93672?

We will first find the prime factorization of 93660 and 93672. After we will calculate the factors of 93660 and 93672 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 93672

Prime factors of 93672 are 2, 3, 1301. Prime factorization of 93672 in exponential form is:

93672 = 2³ × 3² × 1301¹

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 93672

List of positive integer factors of 93672 that divides 93660 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1301, 2602, 3903, 5204, 7806, 10408, 11709, 15612, 23418, 31224, 46836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93660 and 93672. The biggest common factor number is the GCF number.
So the greatest common factor 93660 and 93672 is 12.

Also check out the Least Common Multiple of 93660 and 93672