What is the Greatest Common Factor of 45603 and 45615?

Greatest common factor (GCF) of 45603 and 45615 is 3.

GCF(45603,45615) = 3

We will now calculate the prime factors of 45603 and 45615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45603 and 45615.

How to find the GCF of 45603 and 45615?

We will first find the prime factorization of 45603 and 45615. After we will calculate the factors of 45603 and 45615 and find the biggest common factor number .

Step-1: Prime Factorization of 45603

Prime factors of 45603 are 3, 563. Prime factorization of 45603 in exponential form is:

45603 = 3⁴ × 563¹

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 45603

List of positive integer factors of 45603 that divides 45603 without a remainder.

1, 3, 9, 27, 81, 563, 1689, 5067, 15201

Step-4: Factors of 45615

List of positive integer factors of 45615 that divides 45603 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45603 and 45615. The biggest common factor number is the GCF number.
So the greatest common factor 45603 and 45615 is 3.

Also check out the Least Common Multiple of 45603 and 45615