What is the Greatest Common Factor of 34138 and 34150?

Greatest common factor (GCF) of 34138 and 34150 is 2.

GCF(34138,34150) = 2

We will now calculate the prime factors of 34138 and 34150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34138 and 34150.

How to find the GCF of 34138 and 34150?

We will first find the prime factorization of 34138 and 34150. After we will calculate the factors of 34138 and 34150 and find the biggest common factor number .

Step-1: Prime Factorization of 34138

Prime factors of 34138 are 2, 13, 101. Prime factorization of 34138 in exponential form is:

34138 = 2¹ × 13² × 101¹

Step-2: Prime Factorization of 34150

Prime factors of 34150 are 2, 5, 683. Prime factorization of 34150 in exponential form is:

34150 = 2¹ × 5² × 683¹

Step-3: Factors of 34138

List of positive integer factors of 34138 that divides 34138 without a remainder.

1, 2, 13, 26, 101, 169, 202, 338, 1313, 2626, 17069

Step-4: Factors of 34150

List of positive integer factors of 34150 that divides 34138 without a remainder.

1, 2, 5, 10, 25, 50, 683, 1366, 3415, 6830, 17075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34138 and 34150. The biggest common factor number is the GCF number.
So the greatest common factor 34138 and 34150 is 2.

Also check out the Least Common Multiple of 34138 and 34150