What is the Greatest Common Factor of 34577 and 34581?

Greatest common factor (GCF) of 34577 and 34581 is 1.

GCF(34577,34581) = 1

We will now calculate the prime factors of 34577 and 34581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34577 and 34581.

How to find the GCF of 34577 and 34581?

We will first find the prime factorization of 34577 and 34581. After we will calculate the factors of 34577 and 34581 and find the biggest common factor number .

Step-1: Prime Factorization of 34577

Prime factors of 34577 are 71, 487. Prime factorization of 34577 in exponential form is:

34577 = 71¹ × 487¹

Step-2: Prime Factorization of 34581

Prime factors of 34581 are 3, 11527. Prime factorization of 34581 in exponential form is:

34581 = 3¹ × 11527¹

Step-3: Factors of 34577

List of positive integer factors of 34577 that divides 34577 without a remainder.

1, 71, 487

Step-4: Factors of 34581

List of positive integer factors of 34581 that divides 34577 without a remainder.

1, 3, 11527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34577 and 34581. The biggest common factor number is the GCF number.
So the greatest common factor 34577 and 34581 is 1.

Also check out the Least Common Multiple of 34577 and 34581