What is the Greatest Common Factor of 45564 and 45575?

Greatest common factor (GCF) of 45564 and 45575 is 1.

GCF(45564,45575) = 1

We will now calculate the prime factors of 45564 and 45575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45564 and 45575.

How to find the GCF of 45564 and 45575?

We will first find the prime factorization of 45564 and 45575. After we will calculate the factors of 45564 and 45575 and find the biggest common factor number .

Step-1: Prime Factorization of 45564

Prime factors of 45564 are 2, 3, 3797. Prime factorization of 45564 in exponential form is:

45564 = 2² × 3¹ × 3797¹

Step-2: Prime Factorization of 45575

Prime factors of 45575 are 5, 1823. Prime factorization of 45575 in exponential form is:

45575 = 5² × 1823¹

Step-3: Factors of 45564

List of positive integer factors of 45564 that divides 45564 without a remainder.

1, 2, 3, 4, 6, 12, 3797, 7594, 11391, 15188, 22782

Step-4: Factors of 45575

List of positive integer factors of 45575 that divides 45564 without a remainder.

1, 5, 25, 1823, 9115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45564 and 45575. The biggest common factor number is the GCF number.
So the greatest common factor 45564 and 45575 is 1.

Also check out the Least Common Multiple of 45564 and 45575