What is the Greatest Common Factor of 93264 and 93282?

Greatest common factor (GCF) of 93264 and 93282 is 6.

GCF(93264,93282) = 6

We will now calculate the prime factors of 93264 and 93282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93264 and 93282.

How to find the GCF of 93264 and 93282?

We will first find the prime factorization of 93264 and 93282. After we will calculate the factors of 93264 and 93282 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 93282

Prime factors of 93282 are 2, 3, 7, 2221. Prime factorization of 93282 in exponential form is:

93282 = 2¹ × 3¹ × 7¹ × 2221¹

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 93282

List of positive integer factors of 93282 that divides 93264 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2221, 4442, 6663, 13326, 15547, 31094, 46641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93264 and 93282. The biggest common factor number is the GCF number.
So the greatest common factor 93264 and 93282 is 6.

Also check out the Least Common Multiple of 93264 and 93282