What is the Greatest Common Factor of 45312 and 45330?

Greatest common factor (GCF) of 45312 and 45330 is 6.

GCF(45312,45330) = 6

We will now calculate the prime factors of 45312 and 45330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45312 and 45330.

How to find the GCF of 45312 and 45330?

We will first find the prime factorization of 45312 and 45330. After we will calculate the factors of 45312 and 45330 and find the biggest common factor number .

Step-1: Prime Factorization of 45312

Prime factors of 45312 are 2, 3, 59. Prime factorization of 45312 in exponential form is:

45312 = 2⁸ × 3¹ × 59¹

Step-2: Prime Factorization of 45330

Prime factors of 45330 are 2, 3, 5, 1511. Prime factorization of 45330 in exponential form is:

45330 = 2¹ × 3¹ × 5¹ × 1511¹

Step-3: Factors of 45312

List of positive integer factors of 45312 that divides 45312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 256, 354, 384, 472, 708, 768, 944, 1416, 1888, 2832, 3776, 5664, 7552, 11328, 15104, 22656

Step-4: Factors of 45330

List of positive integer factors of 45330 that divides 45312 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1511, 3022, 4533, 7555, 9066, 15110, 22665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45312 and 45330. The biggest common factor number is the GCF number.
So the greatest common factor 45312 and 45330 is 6.

Also check out the Least Common Multiple of 45312 and 45330