What is the Greatest Common Factor of 34162 and 34181?

Greatest common factor (GCF) of 34162 and 34181 is 19.

GCF(34162,34181) = 19

We will now calculate the prime factors of 34162 and 34181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34162 and 34181.

How to find the GCF of 34162 and 34181?

We will first find the prime factorization of 34162 and 34181. After we will calculate the factors of 34162 and 34181 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34181

Prime factors of 34181 are 7, 19, 257. Prime factorization of 34181 in exponential form is:

34181 = 7¹ × 19¹ × 257¹

Step-3: Factors of 34162

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

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

Step-4: Factors of 34181

List of positive integer factors of 34181 that divides 34162 without a remainder.

1, 7, 19, 133, 257, 1799, 4883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34162 and 34181. The biggest common factor number is the GCF number.
So the greatest common factor 34162 and 34181 is 19.

Also check out the Least Common Multiple of 34162 and 34181