What is the Greatest Common Factor of 90608 and 90624?

Greatest common factor (GCF) of 90608 and 90624 is 16.

GCF(90608,90624) = 16

We will now calculate the prime factors of 90608 and 90624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90608 and 90624.

How to find the GCF of 90608 and 90624?

We will first find the prime factorization of 90608 and 90624. After we will calculate the factors of 90608 and 90624 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90624

Prime factors of 90624 are 2, 3, 59. Prime factorization of 90624 in exponential form is:

90624 = 2⁹ × 3¹ × 59¹

Step-3: Factors of 90608

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

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

Step-4: Factors of 90624

List of positive integer factors of 90624 that divides 90608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 256, 354, 384, 472, 512, 708, 768, 944, 1416, 1536, 1888, 2832, 3776, 5664, 7552, 11328, 15104, 22656, 30208, 45312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90608 and 90624. The biggest common factor number is the GCF number.
So the greatest common factor 90608 and 90624 is 16.

Also check out the Least Common Multiple of 90608 and 90624