What is the Greatest Common Factor of 93660 and 93664?

Greatest common factor (GCF) of 93660 and 93664 is 4.

GCF(93660,93664) = 4

We will now calculate the prime factors of 93660 and 93664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93660 and 93664.

How to find the GCF of 93660 and 93664?

We will first find the prime factorization of 93660 and 93664. After we will calculate the factors of 93660 and 93664 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 93664

Prime factors of 93664 are 2, 2927. Prime factorization of 93664 in exponential form is:

93664 = 2⁵ × 2927¹

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 93664

List of positive integer factors of 93664 that divides 93660 without a remainder.

1, 2, 4, 8, 16, 32, 2927, 5854, 11708, 23416, 46832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93660 and 93664. The biggest common factor number is the GCF number.
So the greatest common factor 93660 and 93664 is 4.

Also check out the Least Common Multiple of 93660 and 93664