What is the Greatest Common Factor of 73521 and 73537?

Greatest common factor (GCF) of 73521 and 73537 is 1.

GCF(73521,73537) = 1

We will now calculate the prime factors of 73521 and 73537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73521 and 73537.

How to find the GCF of 73521 and 73537?

We will first find the prime factorization of 73521 and 73537. After we will calculate the factors of 73521 and 73537 and find the biggest common factor number .

Step-1: Prime Factorization of 73521

Prime factors of 73521 are 3, 7, 389. Prime factorization of 73521 in exponential form is:

73521 = 3³ × 7¹ × 389¹

Step-2: Prime Factorization of 73537

Prime factors of 73537 are 151, 487. Prime factorization of 73537 in exponential form is:

73537 = 151¹ × 487¹

Step-3: Factors of 73521

List of positive integer factors of 73521 that divides 73521 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 389, 1167, 2723, 3501, 8169, 10503, 24507

Step-4: Factors of 73537

List of positive integer factors of 73537 that divides 73521 without a remainder.

1, 151, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73521 and 73537. The biggest common factor number is the GCF number.
So the greatest common factor 73521 and 73537 is 1.

Also check out the Least Common Multiple of 73521 and 73537