What is the Greatest Common Factor of 45297 and 45312?

Greatest common factor (GCF) of 45297 and 45312 is 3.

GCF(45297,45312) = 3

We will now calculate the prime factors of 45297 and 45312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45297 and 45312.

How to find the GCF of 45297 and 45312?

We will first find the prime factorization of 45297 and 45312. After we will calculate the factors of 45297 and 45312 and find the biggest common factor number .

Step-1: Prime Factorization of 45297

Prime factors of 45297 are 3, 7, 719. Prime factorization of 45297 in exponential form is:

45297 = 3² × 7¹ × 719¹

Step-2: 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-3: Factors of 45297

List of positive integer factors of 45297 that divides 45297 without a remainder.

1, 3, 7, 9, 21, 63, 719, 2157, 5033, 6471, 15099

Step-4: Factors of 45312

List of positive integer factors of 45312 that divides 45297 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45297 and 45312. The biggest common factor number is the GCF number.
So the greatest common factor 45297 and 45312 is 3.

Also check out the Least Common Multiple of 45297 and 45312