What is the Greatest Common Factor of 72582 and 72597?

Greatest common factor (GCF) of 72582 and 72597 is 3.

GCF(72582,72597) = 3

We will now calculate the prime factors of 72582 and 72597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72582 and 72597.

How to find the GCF of 72582 and 72597?

We will first find the prime factorization of 72582 and 72597. After we will calculate the factors of 72582 and 72597 and find the biggest common factor number .

Step-1: Prime Factorization of 72582

Prime factors of 72582 are 2, 3, 12097. Prime factorization of 72582 in exponential form is:

72582 = 2¹ × 3¹ × 12097¹

Step-2: 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-3: Factors of 72582

List of positive integer factors of 72582 that divides 72582 without a remainder.

1, 2, 3, 6, 12097, 24194, 36291

Step-4: Factors of 72597

List of positive integer factors of 72597 that divides 72582 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72582 and 72597. The biggest common factor number is the GCF number.
So the greatest common factor 72582 and 72597 is 3.

Also check out the Least Common Multiple of 72582 and 72597