What is the Greatest Common Factor of 34151 and 34162?

Greatest common factor (GCF) of 34151 and 34162 is 1.

GCF(34151,34162) = 1

We will now calculate the prime factors of 34151 and 34162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34151 and 34162.

How to find the GCF of 34151 and 34162?

We will first find the prime factorization of 34151 and 34162. After we will calculate the factors of 34151 and 34162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34162

Prime factors of 34162 are 2, 19, 29, 31. Prime factorization of 34162 in exponential form is:

34162 = 2¹ × 19¹ × 29¹ × 31¹

Step-3: Factors of 34151

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

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

Step-4: Factors of 34162

List of positive integer factors of 34162 that divides 34151 without a remainder.

1, 2, 19, 29, 31, 38, 58, 62, 551, 589, 899, 1102, 1178, 1798, 17081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34151 and 34162. The biggest common factor number is the GCF number.
So the greatest common factor 34151 and 34162 is 1.

Also check out the Least Common Multiple of 34151 and 34162