What is the Greatest Common Factor of 45567 and 45579?

Greatest common factor (GCF) of 45567 and 45579 is 3.

GCF(45567,45579) = 3

We will now calculate the prime factors of 45567 and 45579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45567 and 45579.

How to find the GCF of 45567 and 45579?

We will first find the prime factorization of 45567 and 45579. After we will calculate the factors of 45567 and 45579 and find the biggest common factor number .

Step-1: Prime Factorization of 45567

Prime factors of 45567 are 3, 61, 83. Prime factorization of 45567 in exponential form is:

45567 = 3² × 61¹ × 83¹

Step-2: Prime Factorization of 45579

Prime factors of 45579 are 3, 15193. Prime factorization of 45579 in exponential form is:

45579 = 3¹ × 15193¹

Step-3: Factors of 45567

List of positive integer factors of 45567 that divides 45567 without a remainder.

1, 3, 9, 61, 83, 183, 249, 549, 747, 5063, 15189

Step-4: Factors of 45579

List of positive integer factors of 45579 that divides 45567 without a remainder.

1, 3, 15193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45567 and 45579. The biggest common factor number is the GCF number.
So the greatest common factor 45567 and 45579 is 3.

Also check out the Least Common Multiple of 45567 and 45579