What is the Greatest Common Factor of 34143 and 34162?

Greatest common factor (GCF) of 34143 and 34162 is 19.

GCF(34143,34162) = 19

We will now calculate the prime factors of 34143 and 34162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34143 and 34162.

How to find the GCF of 34143 and 34162?

We will first find the prime factorization of 34143 and 34162. After we will calculate the factors of 34143 and 34162 and find the biggest common factor number .

Step-1: Prime Factorization of 34143

Prime factors of 34143 are 3, 19, 599. Prime factorization of 34143 in exponential form is:

34143 = 3¹ × 19¹ × 599¹

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 34143

List of positive integer factors of 34143 that divides 34143 without a remainder.

1, 3, 19, 57, 599, 1797, 11381

Step-4: Factors of 34162

List of positive integer factors of 34162 that divides 34143 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 34143 and 34162. The biggest common factor number is the GCF number.
So the greatest common factor 34143 and 34162 is 19.

Also check out the Least Common Multiple of 34143 and 34162