What is the Greatest Common Factor of 93264 and 93273?

Greatest common factor (GCF) of 93264 and 93273 is 3.

GCF(93264,93273) = 3

We will now calculate the prime factors of 93264 and 93273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93264 and 93273.

How to find the GCF of 93264 and 93273?

We will first find the prime factorization of 93264 and 93273. After we will calculate the factors of 93264 and 93273 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 93273

Prime factors of 93273 are 3, 31091. Prime factorization of 93273 in exponential form is:

93273 = 3¹ × 31091¹

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 93273

List of positive integer factors of 93273 that divides 93264 without a remainder.

1, 3, 31091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93264 and 93273. The biggest common factor number is the GCF number.
So the greatest common factor 93264 and 93273 is 3.

Also check out the Least Common Multiple of 93264 and 93273