What is the Greatest Common Factor of 34105 and 34124?

Greatest common factor (GCF) of 34105 and 34124 is 19.

GCF(34105,34124) = 19

We will now calculate the prime factors of 34105 and 34124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34105 and 34124.

How to find the GCF of 34105 and 34124?

We will first find the prime factorization of 34105 and 34124. After we will calculate the factors of 34105 and 34124 and find the biggest common factor number .

Step-1: Prime Factorization of 34105

Prime factors of 34105 are 5, 19, 359. Prime factorization of 34105 in exponential form is:

34105 = 5¹ × 19¹ × 359¹

Step-2: 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-3: Factors of 34105

List of positive integer factors of 34105 that divides 34105 without a remainder.

1, 5, 19, 95, 359, 1795, 6821

Step-4: Factors of 34124

List of positive integer factors of 34124 that divides 34105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34105 and 34124. The biggest common factor number is the GCF number.
So the greatest common factor 34105 and 34124 is 19.

Also check out the Least Common Multiple of 34105 and 34124