What is the Greatest Common Factor of 89652 and 89664?

Greatest common factor (GCF) of 89652 and 89664 is 12.

GCF(89652,89664) = 12

We will now calculate the prime factors of 89652 and 89664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89652 and 89664.

How to find the GCF of 89652 and 89664?

We will first find the prime factorization of 89652 and 89664. After we will calculate the factors of 89652 and 89664 and find the biggest common factor number .

Step-1: Prime Factorization of 89652

Prime factors of 89652 are 2, 3, 31, 241. Prime factorization of 89652 in exponential form is:

89652 = 2² × 3¹ × 31¹ × 241¹

Step-2: Prime Factorization of 89664

Prime factors of 89664 are 2, 3, 467. Prime factorization of 89664 in exponential form is:

89664 = 2⁶ × 3¹ × 467¹

Step-3: Factors of 89652

List of positive integer factors of 89652 that divides 89652 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 241, 372, 482, 723, 964, 1446, 2892, 7471, 14942, 22413, 29884, 44826

Step-4: Factors of 89664

List of positive integer factors of 89664 that divides 89652 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208, 14944, 22416, 29888, 44832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89652 and 89664. The biggest common factor number is the GCF number.
So the greatest common factor 89652 and 89664 is 12.

Also check out the Least Common Multiple of 89652 and 89664