What is the Greatest Common Factor of 75315 and 75325?

Greatest common factor (GCF) of 75315 and 75325 is 5.

GCF(75315,75325) = 5

We will now calculate the prime factors of 75315 and 75325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75315 and 75325.

How to find the GCF of 75315 and 75325?

We will first find the prime factorization of 75315 and 75325. After we will calculate the factors of 75315 and 75325 and find the biggest common factor number .

Step-1: Prime Factorization of 75315

Prime factors of 75315 are 3, 5, 5021. Prime factorization of 75315 in exponential form is:

75315 = 3¹ × 5¹ × 5021¹

Step-2: Prime Factorization of 75325

Prime factors of 75325 are 5, 23, 131. Prime factorization of 75325 in exponential form is:

75325 = 5² × 23¹ × 131¹

Step-3: Factors of 75315

List of positive integer factors of 75315 that divides 75315 without a remainder.

1, 3, 5, 15, 5021, 15063, 25105

Step-4: Factors of 75325

List of positive integer factors of 75325 that divides 75315 without a remainder.

1, 5, 23, 25, 115, 131, 575, 655, 3013, 3275, 15065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75315 and 75325. The biggest common factor number is the GCF number.
So the greatest common factor 75315 and 75325 is 5.

Also check out the Least Common Multiple of 75315 and 75325