What is the Greatest Common Factor of 45312 and 45317?

Greatest common factor (GCF) of 45312 and 45317 is 1.

GCF(45312,45317) = 1

We will now calculate the prime factors of 45312 and 45317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45312 and 45317.

How to find the GCF of 45312 and 45317?

We will first find the prime factorization of 45312 and 45317. After we will calculate the factors of 45312 and 45317 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 45317

Prime factors of 45317 are 45317. Prime factorization of 45317 in exponential form is:

45317 = 45317¹

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 45317

List of positive integer factors of 45317 that divides 45312 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45312 and 45317. The biggest common factor number is the GCF number.
So the greatest common factor 45312 and 45317 is 1.

Also check out the Least Common Multiple of 45312 and 45317