What is the Greatest Common Factor of 90672 and 90684?

Greatest common factor (GCF) of 90672 and 90684 is 12.

GCF(90672,90684) = 12

We will now calculate the prime factors of 90672 and 90684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90672 and 90684.

How to find the GCF of 90672 and 90684?

We will first find the prime factorization of 90672 and 90684. After we will calculate the factors of 90672 and 90684 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90684

Prime factors of 90684 are 2, 3, 11, 229. Prime factorization of 90684 in exponential form is:

90684 = 2² × 3² × 11¹ × 229¹

Step-3: Factors of 90672

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

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

Step-4: Factors of 90684

List of positive integer factors of 90684 that divides 90672 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 229, 396, 458, 687, 916, 1374, 2061, 2519, 2748, 4122, 5038, 7557, 8244, 10076, 15114, 22671, 30228, 45342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90672 and 90684. The biggest common factor number is the GCF number.
So the greatest common factor 90672 and 90684 is 12.

Also check out the Least Common Multiple of 90672 and 90684