What is the Greatest Common Factor of 73581 and 73587?

Greatest common factor (GCF) of 73581 and 73587 is 3.

GCF(73581,73587) = 3

We will now calculate the prime factors of 73581 and 73587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73581 and 73587.

How to find the GCF of 73581 and 73587?

We will first find the prime factorization of 73581 and 73587. After we will calculate the factors of 73581 and 73587 and find the biggest common factor number .

Step-1: Prime Factorization of 73581

Prime factors of 73581 are 3, 24527. Prime factorization of 73581 in exponential form is:

73581 = 3¹ × 24527¹

Step-2: Prime Factorization of 73587

Prime factors of 73587 are 3, 19, 1291. Prime factorization of 73587 in exponential form is:

73587 = 3¹ × 19¹ × 1291¹

Step-3: Factors of 73581

List of positive integer factors of 73581 that divides 73581 without a remainder.

1, 3, 24527

Step-4: Factors of 73587

List of positive integer factors of 73587 that divides 73581 without a remainder.

1, 3, 19, 57, 1291, 3873, 24529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73581 and 73587. The biggest common factor number is the GCF number.
So the greatest common factor 73581 and 73587 is 3.

Also check out the Least Common Multiple of 73581 and 73587