What is the Greatest Common Factor of 45315 and 45335?

Greatest common factor (GCF) of 45315 and 45335 is 5.

GCF(45315,45335) = 5

We will now calculate the prime factors of 45315 and 45335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45315 and 45335.

How to find the GCF of 45315 and 45335?

We will first find the prime factorization of 45315 and 45335. After we will calculate the factors of 45315 and 45335 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 45335

Prime factors of 45335 are 5, 9067. Prime factorization of 45335 in exponential form is:

45335 = 5¹ × 9067¹

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 45335

List of positive integer factors of 45335 that divides 45315 without a remainder.

1, 5, 9067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45315 and 45335. The biggest common factor number is the GCF number.
So the greatest common factor 45315 and 45335 is 5.

Also check out the Least Common Multiple of 45315 and 45335