What is the Greatest Common Factor of 72489 and 72501?

Greatest common factor (GCF) of 72489 and 72501 is 3.

GCF(72489,72501) = 3

We will now calculate the prime factors of 72489 and 72501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72489 and 72501.

How to find the GCF of 72489 and 72501?

We will first find the prime factorization of 72489 and 72501. After we will calculate the factors of 72489 and 72501 and find the biggest common factor number .

Step-1: Prime Factorization of 72489

Prime factors of 72489 are 3, 73, 331. Prime factorization of 72489 in exponential form is:

72489 = 3¹ × 73¹ × 331¹

Step-2: Prime Factorization of 72501

Prime factors of 72501 are 3, 11, 13. Prime factorization of 72501 in exponential form is:

72501 = 3¹ × 11¹ × 13³

Step-3: Factors of 72489

List of positive integer factors of 72489 that divides 72489 without a remainder.

1, 3, 73, 219, 331, 993, 24163

Step-4: Factors of 72501

List of positive integer factors of 72501 that divides 72489 without a remainder.

1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 2197, 5577, 6591, 24167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72489 and 72501. The biggest common factor number is the GCF number.
So the greatest common factor 72489 and 72501 is 3.

Also check out the Least Common Multiple of 72489 and 72501