What is the Greatest Common Factor of 93252 and 93264?

Greatest common factor (GCF) of 93252 and 93264 is 12.

GCF(93252,93264) = 12

We will now calculate the prime factors of 93252 and 93264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93252 and 93264.

How to find the GCF of 93252 and 93264?

We will first find the prime factorization of 93252 and 93264. After we will calculate the factors of 93252 and 93264 and find the biggest common factor number .

Step-1: Prime Factorization of 93252

Prime factors of 93252 are 2, 3, 19, 409. Prime factorization of 93252 in exponential form is:

93252 = 2² × 3¹ × 19¹ × 409¹

Step-2: Prime Factorization of 93264

Prime factors of 93264 are 2, 3, 29, 67. Prime factorization of 93264 in exponential form is:

93264 = 2⁴ × 3¹ × 29¹ × 67¹

Step-3: Factors of 93252

List of positive integer factors of 93252 that divides 93252 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 409, 818, 1227, 1636, 2454, 4908, 7771, 15542, 23313, 31084, 46626

Step-4: Factors of 93264

List of positive integer factors of 93264 that divides 93252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 67, 87, 116, 134, 174, 201, 232, 268, 348, 402, 464, 536, 696, 804, 1072, 1392, 1608, 1943, 3216, 3886, 5829, 7772, 11658, 15544, 23316, 31088, 46632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93252 and 93264. The biggest common factor number is the GCF number.
So the greatest common factor 93252 and 93264 is 12.

Also check out the Least Common Multiple of 93252 and 93264