What is the Greatest Common Factor of 90663 and 90672?

Greatest common factor (GCF) of 90663 and 90672 is 3.

GCF(90663,90672) = 3

We will now calculate the prime factors of 90663 and 90672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90663 and 90672.

How to find the GCF of 90663 and 90672?

We will first find the prime factorization of 90663 and 90672. After we will calculate the factors of 90663 and 90672 and find the biggest common factor number .

Step-1: Prime Factorization of 90663

Prime factors of 90663 are 3, 47, 643. Prime factorization of 90663 in exponential form is:

90663 = 3¹ × 47¹ × 643¹

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 90663

List of positive integer factors of 90663 that divides 90663 without a remainder.

1, 3, 47, 141, 643, 1929, 30221

Step-4: Factors of 90672

List of positive integer factors of 90672 that divides 90663 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 90663 and 90672. The biggest common factor number is the GCF number.
So the greatest common factor 90663 and 90672 is 3.

Also check out the Least Common Multiple of 90663 and 90672