What is the Greatest Common Factor of 34148 and 34162?

Greatest common factor (GCF) of 34148 and 34162 is 2.

GCF(34148,34162) = 2

We will now calculate the prime factors of 34148 and 34162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34148 and 34162.

How to find the GCF of 34148 and 34162?

We will first find the prime factorization of 34148 and 34162. After we will calculate the factors of 34148 and 34162 and find the biggest common factor number .

Step-1: Prime Factorization of 34148

Prime factors of 34148 are 2, 8537. Prime factorization of 34148 in exponential form is:

34148 = 2² × 8537¹

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 34148

List of positive integer factors of 34148 that divides 34148 without a remainder.

1, 2, 4, 8537, 17074

Step-4: Factors of 34162

List of positive integer factors of 34162 that divides 34148 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 34148 and 34162. The biggest common factor number is the GCF number.
So the greatest common factor 34148 and 34162 is 2.

Also check out the Least Common Multiple of 34148 and 34162