What is the Greatest Common Factor of 90264 and 90279?

Greatest common factor (GCF) of 90264 and 90279 is 3.

GCF(90264,90279) = 3

We will now calculate the prime factors of 90264 and 90279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90264 and 90279.

How to find the GCF of 90264 and 90279?

We will first find the prime factorization of 90264 and 90279. After we will calculate the factors of 90264 and 90279 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 90279

Prime factors of 90279 are 3, 7, 1433. Prime factorization of 90279 in exponential form is:

90279 = 3² × 7¹ × 1433¹

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 90279

List of positive integer factors of 90279 that divides 90264 without a remainder.

1, 3, 7, 9, 21, 63, 1433, 4299, 10031, 12897, 30093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90264 and 90279. The biggest common factor number is the GCF number.
So the greatest common factor 90264 and 90279 is 3.

Also check out the Least Common Multiple of 90264 and 90279