What is the Greatest Common Factor of 72501 and 72514?

Greatest common factor (GCF) of 72501 and 72514 is 13.

GCF(72501,72514) = 13

We will now calculate the prime factors of 72501 and 72514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72501 and 72514.

How to find the GCF of 72501 and 72514?

We will first find the prime factorization of 72501 and 72514. After we will calculate the factors of 72501 and 72514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72514

Prime factors of 72514 are 2, 13, 2789. Prime factorization of 72514 in exponential form is:

72514 = 2¹ × 13¹ × 2789¹

Step-3: Factors of 72501

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

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

Step-4: Factors of 72514

List of positive integer factors of 72514 that divides 72501 without a remainder.

1, 2, 13, 26, 2789, 5578, 36257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72501 and 72514. The biggest common factor number is the GCF number.
So the greatest common factor 72501 and 72514 is 13.

Also check out the Least Common Multiple of 72501 and 72514