What is the Greatest Common Factor of 34124 and 34134?

Greatest common factor (GCF) of 34124 and 34134 is 2.

GCF(34124,34134) = 2

We will now calculate the prime factors of 34124 and 34134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34124 and 34134.

How to find the GCF of 34124 and 34134?

We will first find the prime factorization of 34124 and 34134. After we will calculate the factors of 34124 and 34134 and find the biggest common factor number .

Step-1: Prime Factorization of 34124

Prime factors of 34124 are 2, 19, 449. Prime factorization of 34124 in exponential form is:

34124 = 2² × 19¹ × 449¹

Step-2: Prime Factorization of 34134

Prime factors of 34134 are 2, 3, 5689. Prime factorization of 34134 in exponential form is:

34134 = 2¹ × 3¹ × 5689¹

Step-3: Factors of 34124

List of positive integer factors of 34124 that divides 34124 without a remainder.

1, 2, 4, 19, 38, 76, 449, 898, 1796, 8531, 17062

Step-4: Factors of 34134

List of positive integer factors of 34134 that divides 34124 without a remainder.

1, 2, 3, 6, 5689, 11378, 17067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34124 and 34134. The biggest common factor number is the GCF number.
So the greatest common factor 34124 and 34134 is 2.

Also check out the Least Common Multiple of 34124 and 34134