What is the Greatest Common Factor of 72325 and 72337?

Greatest common factor (GCF) of 72325 and 72337 is 1.

GCF(72325,72337) = 1

We will now calculate the prime factors of 72325 and 72337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72325 and 72337.

How to find the GCF of 72325 and 72337?

We will first find the prime factorization of 72325 and 72337. After we will calculate the factors of 72325 and 72337 and find the biggest common factor number .

Step-1: Prime Factorization of 72325

Prime factors of 72325 are 5, 11, 263. Prime factorization of 72325 in exponential form is:

72325 = 5² × 11¹ × 263¹

Step-2: Prime Factorization of 72337

Prime factors of 72337 are 72337. Prime factorization of 72337 in exponential form is:

72337 = 72337¹

Step-3: Factors of 72325

List of positive integer factors of 72325 that divides 72325 without a remainder.

1, 5, 11, 25, 55, 263, 275, 1315, 2893, 6575, 14465

Step-4: Factors of 72337

List of positive integer factors of 72337 that divides 72325 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72325 and 72337. The biggest common factor number is the GCF number.
So the greatest common factor 72325 and 72337 is 1.

Also check out the Least Common Multiple of 72325 and 72337