What is the Greatest Common Factor of 45275 and 45285?

Greatest common factor (GCF) of 45275 and 45285 is 5.

GCF(45275,45285) = 5

We will now calculate the prime factors of 45275 and 45285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45275 and 45285.

How to find the GCF of 45275 and 45285?

We will first find the prime factorization of 45275 and 45285. After we will calculate the factors of 45275 and 45285 and find the biggest common factor number .

Step-1: Prime Factorization of 45275

Prime factors of 45275 are 5, 1811. Prime factorization of 45275 in exponential form is:

45275 = 5² × 1811¹

Step-2: Prime Factorization of 45285

Prime factors of 45285 are 3, 5, 3019. Prime factorization of 45285 in exponential form is:

45285 = 3¹ × 5¹ × 3019¹

Step-3: Factors of 45275

List of positive integer factors of 45275 that divides 45275 without a remainder.

1, 5, 25, 1811, 9055

Step-4: Factors of 45285

List of positive integer factors of 45285 that divides 45275 without a remainder.

1, 3, 5, 15, 3019, 9057, 15095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45275 and 45285. The biggest common factor number is the GCF number.
So the greatest common factor 45275 and 45285 is 5.

Also check out the Least Common Multiple of 45275 and 45285