What is the Greatest Common Factor of 89664 and 89671?

Greatest common factor (GCF) of 89664 and 89671 is 1.

GCF(89664,89671) = 1

We will now calculate the prime factors of 89664 and 89671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89664 and 89671.

How to find the GCF of 89664 and 89671?

We will first find the prime factorization of 89664 and 89671. After we will calculate the factors of 89664 and 89671 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 89671

Prime factors of 89671 are 89671. Prime factorization of 89671 in exponential form is:

89671 = 89671¹

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 89671

List of positive integer factors of 89671 that divides 89664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89664 and 89671. The biggest common factor number is the GCF number.
So the greatest common factor 89664 and 89671 is 1.

Also check out the Least Common Multiple of 89664 and 89671