What is the Greatest Common Factor of 93264 and 93280?

Greatest common factor (GCF) of 93264 and 93280 is 16.

GCF(93264,93280) = 16

We will now calculate the prime factors of 93264 and 93280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93264 and 93280.

How to find the GCF of 93264 and 93280?

We will first find the prime factorization of 93264 and 93280. After we will calculate the factors of 93264 and 93280 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 93280

Prime factors of 93280 are 2, 5, 11, 53. Prime factorization of 93280 in exponential form is:

93280 = 2⁵ × 5¹ × 11¹ × 53¹

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 93280

List of positive integer factors of 93280 that divides 93264 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 53, 55, 80, 88, 106, 110, 160, 176, 212, 220, 265, 352, 424, 440, 530, 583, 848, 880, 1060, 1166, 1696, 1760, 2120, 2332, 2915, 4240, 4664, 5830, 8480, 9328, 11660, 18656, 23320, 46640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93264 and 93280. The biggest common factor number is the GCF number.
So the greatest common factor 93264 and 93280 is 16.

Also check out the Least Common Multiple of 93264 and 93280