What is the Greatest Common Factor of 34112 and 34117?

Greatest common factor (GCF) of 34112 and 34117 is 1.

GCF(34112,34117) = 1

We will now calculate the prime factors of 34112 and 34117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34112 and 34117.

How to find the GCF of 34112 and 34117?

We will first find the prime factorization of 34112 and 34117. After we will calculate the factors of 34112 and 34117 and find the biggest common factor number .

Step-1: Prime Factorization of 34112

Prime factors of 34112 are 2, 13, 41. Prime factorization of 34112 in exponential form is:

34112 = 2⁶ × 13¹ × 41¹

Step-2: Prime Factorization of 34117

Prime factors of 34117 are 109, 313. Prime factorization of 34117 in exponential form is:

34117 = 109¹ × 313¹

Step-3: Factors of 34112

List of positive integer factors of 34112 that divides 34112 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 41, 52, 64, 82, 104, 164, 208, 328, 416, 533, 656, 832, 1066, 1312, 2132, 2624, 4264, 8528, 17056

Step-4: Factors of 34117

List of positive integer factors of 34117 that divides 34112 without a remainder.

1, 109, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34112 and 34117. The biggest common factor number is the GCF number.
So the greatest common factor 34112 and 34117 is 1.

Also check out the Least Common Multiple of 34112 and 34117