What is the Greatest Common Factor of 90592 and 90608?

Greatest common factor (GCF) of 90592 and 90608 is 16.

GCF(90592,90608) = 16

We will now calculate the prime factors of 90592 and 90608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90592 and 90608.

How to find the GCF of 90592 and 90608?

We will first find the prime factorization of 90592 and 90608. After we will calculate the factors of 90592 and 90608 and find the biggest common factor number .

Step-1: Prime Factorization of 90592

Prime factors of 90592 are 2, 19, 149. Prime factorization of 90592 in exponential form is:

90592 = 2⁵ × 19¹ × 149¹

Step-2: Prime Factorization of 90608

Prime factors of 90608 are 2, 7, 809. Prime factorization of 90608 in exponential form is:

90608 = 2⁴ × 7¹ × 809¹

Step-3: Factors of 90592

List of positive integer factors of 90592 that divides 90592 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 149, 152, 298, 304, 596, 608, 1192, 2384, 2831, 4768, 5662, 11324, 22648, 45296

Step-4: Factors of 90608

List of positive integer factors of 90608 that divides 90592 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 809, 1618, 3236, 5663, 6472, 11326, 12944, 22652, 45304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90592 and 90608. The biggest common factor number is the GCF number.
So the greatest common factor 90592 and 90608 is 16.

Also check out the Least Common Multiple of 90592 and 90608