What is the Greatest Common Factor of 34138 and 34142?

Greatest common factor (GCF) of 34138 and 34142 is 2.

GCF(34138,34142) = 2

We will now calculate the prime factors of 34138 and 34142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34138 and 34142.

How to find the GCF of 34138 and 34142?

We will first find the prime factorization of 34138 and 34142. After we will calculate the factors of 34138 and 34142 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 34142

Prime factors of 34142 are 2, 43, 397. Prime factorization of 34142 in exponential form is:

34142 = 2¹ × 43¹ × 397¹

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 34142

List of positive integer factors of 34142 that divides 34138 without a remainder.

1, 2, 43, 86, 397, 794, 17071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34138 and 34142. The biggest common factor number is the GCF number.
So the greatest common factor 34138 and 34142 is 2.

Also check out the Least Common Multiple of 34138 and 34142