What is the Greatest Common Factor of 45315 and 45331?

Greatest common factor (GCF) of 45315 and 45331 is 1.

GCF(45315,45331) = 1

We will now calculate the prime factors of 45315 and 45331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45315 and 45331.

How to find the GCF of 45315 and 45331?

We will first find the prime factorization of 45315 and 45331. After we will calculate the factors of 45315 and 45331 and find the biggest common factor number .

Step-1: Prime Factorization of 45315

Prime factors of 45315 are 3, 5, 19, 53. Prime factorization of 45315 in exponential form is:

45315 = 3² × 5¹ × 19¹ × 53¹

Step-2: Prime Factorization of 45331

Prime factors of 45331 are 11, 13, 317. Prime factorization of 45331 in exponential form is:

45331 = 11¹ × 13¹ × 317¹

Step-3: Factors of 45315

List of positive integer factors of 45315 that divides 45315 without a remainder.

1, 3, 5, 9, 15, 19, 45, 53, 57, 95, 159, 171, 265, 285, 477, 795, 855, 1007, 2385, 3021, 5035, 9063, 15105

Step-4: Factors of 45331

List of positive integer factors of 45331 that divides 45315 without a remainder.

1, 11, 13, 143, 317, 3487, 4121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45315 and 45331. The biggest common factor number is the GCF number.
So the greatest common factor 45315 and 45331 is 1.

Also check out the Least Common Multiple of 45315 and 45331