What is the Greatest Common Factor of 89536 and 89552?

Greatest common factor (GCF) of 89536 and 89552 is 16.

GCF(89536,89552) = 16

We will now calculate the prime factors of 89536 and 89552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89536 and 89552.

How to find the GCF of 89536 and 89552?

We will first find the prime factorization of 89536 and 89552. After we will calculate the factors of 89536 and 89552 and find the biggest common factor number .

Step-1: Prime Factorization of 89536

Prime factors of 89536 are 2, 1399. Prime factorization of 89536 in exponential form is:

89536 = 2⁶ × 1399¹

Step-2: Prime Factorization of 89552

Prime factors of 89552 are 2, 29, 193. Prime factorization of 89552 in exponential form is:

89552 = 2⁴ × 29¹ × 193¹

Step-3: Factors of 89536

List of positive integer factors of 89536 that divides 89536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1399, 2798, 5596, 11192, 22384, 44768

Step-4: Factors of 89552

List of positive integer factors of 89552 that divides 89536 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 193, 232, 386, 464, 772, 1544, 3088, 5597, 11194, 22388, 44776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89536 and 89552. The biggest common factor number is the GCF number.
So the greatest common factor 89536 and 89552 is 16.

Also check out the Least Common Multiple of 89536 and 89552