What is the Greatest Common Factor of 34574 and 34585?

Greatest common factor (GCF) of 34574 and 34585 is 1.

GCF(34574,34585) = 1

We will now calculate the prime factors of 34574 and 34585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34574 and 34585.

How to find the GCF of 34574 and 34585?

We will first find the prime factorization of 34574 and 34585. After we will calculate the factors of 34574 and 34585 and find the biggest common factor number .

Step-1: Prime Factorization of 34574

Prime factors of 34574 are 2, 59, 293. Prime factorization of 34574 in exponential form is:

34574 = 2¹ × 59¹ × 293¹

Step-2: Prime Factorization of 34585

Prime factors of 34585 are 5, 6917. Prime factorization of 34585 in exponential form is:

34585 = 5¹ × 6917¹

Step-3: Factors of 34574

List of positive integer factors of 34574 that divides 34574 without a remainder.

1, 2, 59, 118, 293, 586, 17287

Step-4: Factors of 34585

List of positive integer factors of 34585 that divides 34574 without a remainder.

1, 5, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34574 and 34585. The biggest common factor number is the GCF number.
So the greatest common factor 34574 and 34585 is 1.

Also check out the Least Common Multiple of 34574 and 34585