What is the Greatest Common Factor of 93264 and 93268?

Greatest common factor (GCF) of 93264 and 93268 is 4.

GCF(93264,93268) = 4

We will now calculate the prime factors of 93264 and 93268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93264 and 93268.

How to find the GCF of 93264 and 93268?

We will first find the prime factorization of 93264 and 93268. After we will calculate the factors of 93264 and 93268 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93268

Prime factors of 93268 are 2, 7, 3331. Prime factorization of 93268 in exponential form is:

93268 = 2² × 7¹ × 3331¹

Step-3: Factors of 93264

List of positive integer factors of 93264 that divides 93264 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

Step-4: Factors of 93268

List of positive integer factors of 93268 that divides 93264 without a remainder.

1, 2, 4, 7, 14, 28, 3331, 6662, 13324, 23317, 46634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93264 and 93268. The biggest common factor number is the GCF number.
So the greatest common factor 93264 and 93268 is 4.

Also check out the Least Common Multiple of 93264 and 93268