What is the Greatest Common Factor of 45597 and 45615?

Greatest common factor (GCF) of 45597 and 45615 is 3.

GCF(45597,45615) = 3

We will now calculate the prime factors of 45597 and 45615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45597 and 45615.

How to find the GCF of 45597 and 45615?

We will first find the prime factorization of 45597 and 45615. After we will calculate the factors of 45597 and 45615 and find the biggest common factor number .

Step-1: Prime Factorization of 45597

Prime factors of 45597 are 3, 15199. Prime factorization of 45597 in exponential form is:

45597 = 3¹ × 15199¹

Step-2: Prime Factorization of 45615

Prime factors of 45615 are 3, 5, 3041. Prime factorization of 45615 in exponential form is:

45615 = 3¹ × 5¹ × 3041¹

Step-3: Factors of 45597

List of positive integer factors of 45597 that divides 45597 without a remainder.

1, 3, 15199

Step-4: Factors of 45615

List of positive integer factors of 45615 that divides 45597 without a remainder.

1, 3, 5, 15, 3041, 9123, 15205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45597 and 45615. The biggest common factor number is the GCF number.
So the greatest common factor 45597 and 45615 is 3.

Also check out the Least Common Multiple of 45597 and 45615