What is the Greatest Common Factor of 93660 and 93666?

Greatest common factor (GCF) of 93660 and 93666 is 6.

GCF(93660,93666) = 6

We will now calculate the prime factors of 93660 and 93666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93660 and 93666.

How to find the GCF of 93660 and 93666?

We will first find the prime factorization of 93660 and 93666. After we will calculate the factors of 93660 and 93666 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 93666

Prime factors of 93666 are 2, 3, 67, 233. Prime factorization of 93666 in exponential form is:

93666 = 2¹ × 3¹ × 67¹ × 233¹

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 93666

List of positive integer factors of 93666 that divides 93660 without a remainder.

1, 2, 3, 6, 67, 134, 201, 233, 402, 466, 699, 1398, 15611, 31222, 46833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93660 and 93666. The biggest common factor number is the GCF number.
So the greatest common factor 93660 and 93666 is 6.

Also check out the Least Common Multiple of 93660 and 93666