What is the Greatest Common Factor of 90656 and 90672?

Greatest common factor (GCF) of 90656 and 90672 is 16.

GCF(90656,90672) = 16

We will now calculate the prime factors of 90656 and 90672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90656 and 90672.

How to find the GCF of 90656 and 90672?

We will first find the prime factorization of 90656 and 90672. After we will calculate the factors of 90656 and 90672 and find the biggest common factor number .

Step-1: Prime Factorization of 90656

Prime factors of 90656 are 2, 2833. Prime factorization of 90656 in exponential form is:

90656 = 2⁵ × 2833¹

Step-2: Prime Factorization of 90672

Prime factors of 90672 are 2, 3, 1889. Prime factorization of 90672 in exponential form is:

90672 = 2⁴ × 3¹ × 1889¹

Step-3: Factors of 90656

List of positive integer factors of 90656 that divides 90656 without a remainder.

1, 2, 4, 8, 16, 32, 2833, 5666, 11332, 22664, 45328

Step-4: Factors of 90672

List of positive integer factors of 90672 that divides 90656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1889, 3778, 5667, 7556, 11334, 15112, 22668, 30224, 45336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90656 and 90672. The biggest common factor number is the GCF number.
So the greatest common factor 90656 and 90672 is 16.

Also check out the Least Common Multiple of 90656 and 90672