What is the Greatest Common Factor of 34174 and 34180?

Greatest common factor (GCF) of 34174 and 34180 is 2.

GCF(34174,34180) = 2

We will now calculate the prime factors of 34174 and 34180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34174 and 34180.

How to find the GCF of 34174 and 34180?

We will first find the prime factorization of 34174 and 34180. After we will calculate the factors of 34174 and 34180 and find the biggest common factor number .

Step-1: Prime Factorization of 34174

Prime factors of 34174 are 2, 7, 2441. Prime factorization of 34174 in exponential form is:

34174 = 2¹ × 7¹ × 2441¹

Step-2: Prime Factorization of 34180

Prime factors of 34180 are 2, 5, 1709. Prime factorization of 34180 in exponential form is:

34180 = 2² × 5¹ × 1709¹

Step-3: Factors of 34174

List of positive integer factors of 34174 that divides 34174 without a remainder.

1, 2, 7, 14, 2441, 4882, 17087

Step-4: Factors of 34180

List of positive integer factors of 34180 that divides 34174 without a remainder.

1, 2, 4, 5, 10, 20, 1709, 3418, 6836, 8545, 17090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34174 and 34180. The biggest common factor number is the GCF number.
So the greatest common factor 34174 and 34180 is 2.

Also check out the Least Common Multiple of 34174 and 34180