What is the Greatest Common Factor of 89664 and 89668?

Greatest common factor (GCF) of 89664 and 89668 is 4.

GCF(89664,89668) = 4

We will now calculate the prime factors of 89664 and 89668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89664 and 89668.

How to find the GCF of 89664 and 89668?

We will first find the prime factorization of 89664 and 89668. After we will calculate the factors of 89664 and 89668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89668

Prime factors of 89668 are 2, 29, 773. Prime factorization of 89668 in exponential form is:

89668 = 2² × 29¹ × 773¹

Step-3: Factors of 89664

List of positive integer factors of 89664 that divides 89664 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

Step-4: Factors of 89668

List of positive integer factors of 89668 that divides 89664 without a remainder.

1, 2, 4, 29, 58, 116, 773, 1546, 3092, 22417, 44834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89664 and 89668. The biggest common factor number is the GCF number.
So the greatest common factor 89664 and 89668 is 4.

Also check out the Least Common Multiple of 89664 and 89668