What is the Greatest Common Factor of 45327 and 45345?

Greatest common factor (GCF) of 45327 and 45345 is 3.

GCF(45327,45345) = 3

We will now calculate the prime factors of 45327 and 45345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45327 and 45345.

How to find the GCF of 45327 and 45345?

We will first find the prime factorization of 45327 and 45345. After we will calculate the factors of 45327 and 45345 and find the biggest common factor number .

Step-1: Prime Factorization of 45327

Prime factors of 45327 are 3, 29, 521. Prime factorization of 45327 in exponential form is:

45327 = 3¹ × 29¹ × 521¹

Step-2: Prime Factorization of 45345

Prime factors of 45345 are 3, 5, 3023. Prime factorization of 45345 in exponential form is:

45345 = 3¹ × 5¹ × 3023¹

Step-3: Factors of 45327

List of positive integer factors of 45327 that divides 45327 without a remainder.

1, 3, 29, 87, 521, 1563, 15109

Step-4: Factors of 45345

List of positive integer factors of 45345 that divides 45327 without a remainder.

1, 3, 5, 15, 3023, 9069, 15115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45327 and 45345. The biggest common factor number is the GCF number.
So the greatest common factor 45327 and 45345 is 3.

Also check out the Least Common Multiple of 45327 and 45345