What is the Greatest Common Factor of 89664 and 89680?

Greatest common factor (GCF) of 89664 and 89680 is 16.

GCF(89664,89680) = 16

We will now calculate the prime factors of 89664 and 89680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89664 and 89680.

How to find the GCF of 89664 and 89680?

We will first find the prime factorization of 89664 and 89680. After we will calculate the factors of 89664 and 89680 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 89680

Prime factors of 89680 are 2, 5, 19, 59. Prime factorization of 89680 in exponential form is:

89680 = 2⁴ × 5¹ × 19¹ × 59¹

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 89680

List of positive integer factors of 89680 that divides 89664 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 59, 76, 80, 95, 118, 152, 190, 236, 295, 304, 380, 472, 590, 760, 944, 1121, 1180, 1520, 2242, 2360, 4484, 4720, 5605, 8968, 11210, 17936, 22420, 44840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89664 and 89680. The biggest common factor number is the GCF number.
So the greatest common factor 89664 and 89680 is 16.

Also check out the Least Common Multiple of 89664 and 89680