What is the Greatest Common Factor of 75325 and 75337?

Greatest common factor (GCF) of 75325 and 75337 is 1.

GCF(75325,75337) = 1

We will now calculate the prime factors of 75325 and 75337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75325 and 75337.

How to find the GCF of 75325 and 75337?

We will first find the prime factorization of 75325 and 75337. After we will calculate the factors of 75325 and 75337 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75337

Prime factors of 75337 are 75337. Prime factorization of 75337 in exponential form is:

75337 = 75337¹

Step-3: Factors of 75325

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

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

Step-4: Factors of 75337

List of positive integer factors of 75337 that divides 75325 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75325 and 75337. The biggest common factor number is the GCF number.
So the greatest common factor 75325 and 75337 is 1.

Also check out the Least Common Multiple of 75325 and 75337