What is the Greatest Common Factor of 72597 and 72611?

Greatest common factor (GCF) of 72597 and 72611 is 7.

GCF(72597,72611) = 7

We will now calculate the prime factors of 72597 and 72611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72597 and 72611.

How to find the GCF of 72597 and 72611?

We will first find the prime factorization of 72597 and 72611. After we will calculate the factors of 72597 and 72611 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 72611

Prime factors of 72611 are 7, 11, 23, 41. Prime factorization of 72611 in exponential form is:

72611 = 7¹ × 11¹ × 23¹ × 41¹

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 72611

List of positive integer factors of 72611 that divides 72597 without a remainder.

1, 7, 11, 23, 41, 77, 161, 253, 287, 451, 943, 1771, 3157, 6601, 10373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72597 and 72611. The biggest common factor number is the GCF number.
So the greatest common factor 72597 and 72611 is 7.

Also check out the Least Common Multiple of 72597 and 72611