What is the Greatest Common Factor of 90264 and 90276?

Greatest common factor (GCF) of 90264 and 90276 is 12.

GCF(90264,90276) = 12

We will now calculate the prime factors of 90264 and 90276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90264 and 90276.

How to find the GCF of 90264 and 90276?

We will first find the prime factorization of 90264 and 90276. After we will calculate the factors of 90264 and 90276 and find the biggest common factor number .

Step-1: Prime Factorization of 90264

Prime factors of 90264 are 2, 3, 3761. Prime factorization of 90264 in exponential form is:

90264 = 2³ × 3¹ × 3761¹

Step-2: Prime Factorization of 90276

Prime factors of 90276 are 2, 3, 7523. Prime factorization of 90276 in exponential form is:

90276 = 2² × 3¹ × 7523¹

Step-3: Factors of 90264

List of positive integer factors of 90264 that divides 90264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3761, 7522, 11283, 15044, 22566, 30088, 45132

Step-4: Factors of 90276

List of positive integer factors of 90276 that divides 90264 without a remainder.

1, 2, 3, 4, 6, 12, 7523, 15046, 22569, 30092, 45138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90264 and 90276. The biggest common factor number is the GCF number.
So the greatest common factor 90264 and 90276 is 12.

Also check out the Least Common Multiple of 90264 and 90276