What is the Greatest Common Factor of 45525 and 45545?

Greatest common factor (GCF) of 45525 and 45545 is 5.

GCF(45525,45545) = 5

We will now calculate the prime factors of 45525 and 45545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45525 and 45545.

How to find the GCF of 45525 and 45545?

We will first find the prime factorization of 45525 and 45545. After we will calculate the factors of 45525 and 45545 and find the biggest common factor number .

Step-1: Prime Factorization of 45525

Prime factors of 45525 are 3, 5, 607. Prime factorization of 45525 in exponential form is:

45525 = 3¹ × 5² × 607¹

Step-2: Prime Factorization of 45545

Prime factors of 45545 are 5, 9109. Prime factorization of 45545 in exponential form is:

45545 = 5¹ × 9109¹

Step-3: Factors of 45525

List of positive integer factors of 45525 that divides 45525 without a remainder.

1, 3, 5, 15, 25, 75, 607, 1821, 3035, 9105, 15175

Step-4: Factors of 45545

List of positive integer factors of 45545 that divides 45525 without a remainder.

1, 5, 9109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45525 and 45545. The biggest common factor number is the GCF number.
So the greatest common factor 45525 and 45545 is 5.

Also check out the Least Common Multiple of 45525 and 45545