What is the Greatest Common Factor of 72521 and 72533?

Greatest common factor (GCF) of 72521 and 72533 is 1.

GCF(72521,72533) = 1

We will now calculate the prime factors of 72521 and 72533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72521 and 72533.

How to find the GCF of 72521 and 72533?

We will first find the prime factorization of 72521 and 72533. After we will calculate the factors of 72521 and 72533 and find the biggest common factor number .

Step-1: Prime Factorization of 72521

Prime factors of 72521 are 47, 1543. Prime factorization of 72521 in exponential form is:

72521 = 47¹ × 1543¹

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 72521

List of positive integer factors of 72521 that divides 72521 without a remainder.

1, 47, 1543

Step-4: Factors of 72533

List of positive integer factors of 72533 that divides 72521 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72521 and 72533. The biggest common factor number is the GCF number.
So the greatest common factor 72521 and 72533 is 1.

Also check out the Least Common Multiple of 72521 and 72533