What is the Greatest Common Factor of 34574 and 34582?

Greatest common factor (GCF) of 34574 and 34582 is 2.

GCF(34574,34582) = 2

We will now calculate the prime factors of 34574 and 34582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34574 and 34582.

How to find the GCF of 34574 and 34582?

We will first find the prime factorization of 34574 and 34582. After we will calculate the factors of 34574 and 34582 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 34582

Prime factors of 34582 are 2, 17291. Prime factorization of 34582 in exponential form is:

34582 = 2¹ × 17291¹

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 34582

List of positive integer factors of 34582 that divides 34574 without a remainder.

1, 2, 17291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34574 and 34582. The biggest common factor number is the GCF number.
So the greatest common factor 34574 and 34582 is 2.

Also check out the Least Common Multiple of 34574 and 34582