What is the Greatest Common Factor of 72514 and 72530?

Greatest common factor (GCF) of 72514 and 72530 is 2.

GCF(72514,72530) = 2

We will now calculate the prime factors of 72514 and 72530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72514 and 72530.

How to find the GCF of 72514 and 72530?

We will first find the prime factorization of 72514 and 72530. After we will calculate the factors of 72514 and 72530 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 72530

Prime factors of 72530 are 2, 5, 7253. Prime factorization of 72530 in exponential form is:

72530 = 2¹ × 5¹ × 7253¹

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 72530

List of positive integer factors of 72530 that divides 72514 without a remainder.

1, 2, 5, 10, 7253, 14506, 36265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72514 and 72530. The biggest common factor number is the GCF number.
So the greatest common factor 72514 and 72530 is 2.

Also check out the Least Common Multiple of 72514 and 72530