What is the Greatest Common Factor of 90252 and 90264?

Greatest common factor (GCF) of 90252 and 90264 is 12.

GCF(90252,90264) = 12

We will now calculate the prime factors of 90252 and 90264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90252 and 90264.

How to find the GCF of 90252 and 90264?

We will first find the prime factorization of 90252 and 90264. After we will calculate the factors of 90252 and 90264 and find the biggest common factor number .

Step-1: Prime Factorization of 90252

Prime factors of 90252 are 2, 3, 23, 109. Prime factorization of 90252 in exponential form is:

90252 = 2² × 3² × 23¹ × 109¹

Step-2: 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-3: Factors of 90252

List of positive integer factors of 90252 that divides 90252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 109, 138, 207, 218, 276, 327, 414, 436, 654, 828, 981, 1308, 1962, 2507, 3924, 5014, 7521, 10028, 15042, 22563, 30084, 45126

Step-4: Factors of 90264

List of positive integer factors of 90264 that divides 90252 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90252 and 90264. The biggest common factor number is the GCF number.
So the greatest common factor 90252 and 90264 is 12.

Also check out the Least Common Multiple of 90252 and 90264