What is the Greatest Common Factor of 34569 and 34588?

Greatest common factor (GCF) of 34569 and 34588 is 1.

GCF(34569,34588) = 1

We will now calculate the prime factors of 34569 and 34588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34569 and 34588.

How to find the GCF of 34569 and 34588?

We will first find the prime factorization of 34569 and 34588. After we will calculate the factors of 34569 and 34588 and find the biggest common factor number .

Step-1: Prime Factorization of 34569

Prime factors of 34569 are 3, 23, 167. Prime factorization of 34569 in exponential form is:

34569 = 3² × 23¹ × 167¹

Step-2: Prime Factorization of 34588

Prime factors of 34588 are 2, 8647. Prime factorization of 34588 in exponential form is:

34588 = 2² × 8647¹

Step-3: Factors of 34569

List of positive integer factors of 34569 that divides 34569 without a remainder.

1, 3, 9, 23, 69, 167, 207, 501, 1503, 3841, 11523

Step-4: Factors of 34588

List of positive integer factors of 34588 that divides 34569 without a remainder.

1, 2, 4, 8647, 17294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34569 and 34588. The biggest common factor number is the GCF number.
So the greatest common factor 34569 and 34588 is 1.

Also check out the Least Common Multiple of 34569 and 34588