What is the Greatest Common Factor of 72597 and 72601?

Greatest common factor (GCF) of 72597 and 72601 is 1.

GCF(72597,72601) = 1

We will now calculate the prime factors of 72597 and 72601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72597 and 72601.

How to find the GCF of 72597 and 72601?

We will first find the prime factorization of 72597 and 72601. After we will calculate the factors of 72597 and 72601 and find the biggest common factor number .

Step-1: Prime Factorization of 72597

Prime factors of 72597 are 3, 7, 3457. Prime factorization of 72597 in exponential form is:

72597 = 3¹ × 7¹ × 3457¹

Step-2: Prime Factorization of 72601

Prime factors of 72601 are 79, 919. Prime factorization of 72601 in exponential form is:

72601 = 79¹ × 919¹

Step-3: Factors of 72597

List of positive integer factors of 72597 that divides 72597 without a remainder.

1, 3, 7, 21, 3457, 10371, 24199

Step-4: Factors of 72601

List of positive integer factors of 72601 that divides 72597 without a remainder.

1, 79, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72597 and 72601. The biggest common factor number is the GCF number.
So the greatest common factor 72597 and 72601 is 1.

Also check out the Least Common Multiple of 72597 and 72601