What is the Greatest Common Factor of 72514 and 72527?

Greatest common factor (GCF) of 72514 and 72527 is 13.

GCF(72514,72527) = 13

We will now calculate the prime factors of 72514 and 72527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72514 and 72527.

How to find the GCF of 72514 and 72527?

We will first find the prime factorization of 72514 and 72527. After we will calculate the factors of 72514 and 72527 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72527

Prime factors of 72527 are 7, 13, 797. Prime factorization of 72527 in exponential form is:

72527 = 7¹ × 13¹ × 797¹

Step-3: Factors of 72514

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

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

Step-4: Factors of 72527

List of positive integer factors of 72527 that divides 72514 without a remainder.

1, 7, 13, 91, 797, 5579, 10361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72514 and 72527. The biggest common factor number is the GCF number.
So the greatest common factor 72514 and 72527 is 13.

Also check out the Least Common Multiple of 72514 and 72527