What is the Greatest Common Factor of 89680 and 89696?

Greatest common factor (GCF) of 89680 and 89696 is 16.

GCF(89680,89696) = 16

We will now calculate the prime factors of 89680 and 89696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89680 and 89696.

How to find the GCF of 89680 and 89696?

We will first find the prime factorization of 89680 and 89696. After we will calculate the factors of 89680 and 89696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89696

Prime factors of 89696 are 2, 2803. Prime factorization of 89696 in exponential form is:

89696 = 2⁵ × 2803¹

Step-3: Factors of 89680

List of positive integer factors of 89680 that divides 89680 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

Step-4: Factors of 89696

List of positive integer factors of 89696 that divides 89680 without a remainder.

1, 2, 4, 8, 16, 32, 2803, 5606, 11212, 22424, 44848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89680 and 89696. The biggest common factor number is the GCF number.
So the greatest common factor 89680 and 89696 is 16.

Also check out the Least Common Multiple of 89680 and 89696