What is the Greatest Common Factor of 72583 and 72597?

Greatest common factor (GCF) of 72583 and 72597 is 7.

GCF(72583,72597) = 7

We will now calculate the prime factors of 72583 and 72597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72583 and 72597.

How to find the GCF of 72583 and 72597?

We will first find the prime factorization of 72583 and 72597. After we will calculate the factors of 72583 and 72597 and find the biggest common factor number .

Step-1: Prime Factorization of 72583

Prime factors of 72583 are 7, 10369. Prime factorization of 72583 in exponential form is:

72583 = 7¹ × 10369¹

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 72583

List of positive integer factors of 72583 that divides 72583 without a remainder.

1, 7, 10369

Step-4: Factors of 72597

List of positive integer factors of 72597 that divides 72583 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72583 and 72597. The biggest common factor number is the GCF number.
So the greatest common factor 72583 and 72597 is 7.

Also check out the Least Common Multiple of 72583 and 72597