What is the Greatest Common Factor of 45517 and 45525?

Greatest common factor (GCF) of 45517 and 45525 is 1.

GCF(45517,45525) = 1

We will now calculate the prime factors of 45517 and 45525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45517 and 45525.

How to find the GCF of 45517 and 45525?

We will first find the prime factorization of 45517 and 45525. After we will calculate the factors of 45517 and 45525 and find the biggest common factor number .

Step-1: Prime Factorization of 45517

Prime factors of 45517 are 23, 1979. Prime factorization of 45517 in exponential form is:

45517 = 23¹ × 1979¹

Step-2: 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-3: Factors of 45517

List of positive integer factors of 45517 that divides 45517 without a remainder.

1, 23, 1979

Step-4: Factors of 45525

List of positive integer factors of 45525 that divides 45517 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45517 and 45525. The biggest common factor number is the GCF number.
So the greatest common factor 45517 and 45525 is 1.

Also check out the Least Common Multiple of 45517 and 45525