What is the Greatest Common Factor of 90672 and 90688?

Greatest common factor (GCF) of 90672 and 90688 is 16.

GCF(90672,90688) = 16

We will now calculate the prime factors of 90672 and 90688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90672 and 90688.

How to find the GCF of 90672 and 90688?

We will first find the prime factorization of 90672 and 90688. After we will calculate the factors of 90672 and 90688 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 90688

Prime factors of 90688 are 2, 13, 109. Prime factorization of 90688 in exponential form is:

90688 = 2⁶ × 13¹ × 109¹

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 90688

List of positive integer factors of 90688 that divides 90672 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 109, 208, 218, 416, 436, 832, 872, 1417, 1744, 2834, 3488, 5668, 6976, 11336, 22672, 45344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90672 and 90688. The biggest common factor number is the GCF number.
So the greatest common factor 90672 and 90688 is 16.

Also check out the Least Common Multiple of 90672 and 90688