What is the Greatest Common Factor of 34138 and 34151?

Greatest common factor (GCF) of 34138 and 34151 is 13.

GCF(34138,34151) = 13

We will now calculate the prime factors of 34138 and 34151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34138 and 34151.

How to find the GCF of 34138 and 34151?

We will first find the prime factorization of 34138 and 34151. After we will calculate the factors of 34138 and 34151 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 34151

Prime factors of 34151 are 13, 37, 71. Prime factorization of 34151 in exponential form is:

34151 = 13¹ × 37¹ × 71¹

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 34151

List of positive integer factors of 34151 that divides 34138 without a remainder.

1, 13, 37, 71, 481, 923, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34138 and 34151. The biggest common factor number is the GCF number.
So the greatest common factor 34138 and 34151 is 13.

Also check out the Least Common Multiple of 34138 and 34151