What is the Greatest Common Factor of 72508 and 72514?

Greatest common factor (GCF) of 72508 and 72514 is 2.

GCF(72508,72514) = 2

We will now calculate the prime factors of 72508 and 72514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72508 and 72514.

How to find the GCF of 72508 and 72514?

We will first find the prime factorization of 72508 and 72514. After we will calculate the factors of 72508 and 72514 and find the biggest common factor number .

Step-1: Prime Factorization of 72508

Prime factors of 72508 are 2, 18127. Prime factorization of 72508 in exponential form is:

72508 = 2² × 18127¹

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 72508

List of positive integer factors of 72508 that divides 72508 without a remainder.

1, 2, 4, 18127, 36254

Step-4: Factors of 72514

List of positive integer factors of 72514 that divides 72508 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72508 and 72514. The biggest common factor number is the GCF number.
So the greatest common factor 72508 and 72514 is 2.

Also check out the Least Common Multiple of 72508 and 72514