What is the Greatest Common Factor of 72514 and 72533?

Greatest common factor (GCF) of 72514 and 72533 is 1.

GCF(72514,72533) = 1

We will now calculate the prime factors of 72514 and 72533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72514 and 72533.

How to find the GCF of 72514 and 72533?

We will first find the prime factorization of 72514 and 72533. After we will calculate the factors of 72514 and 72533 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 72533

Prime factors of 72533 are 72533. Prime factorization of 72533 in exponential form is:

72533 = 72533¹

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 72533

List of positive integer factors of 72533 that divides 72514 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72514 and 72533. The biggest common factor number is the GCF number.
So the greatest common factor 72514 and 72533 is 1.

Also check out the Least Common Multiple of 72514 and 72533