What is the Greatest Common Factor of 39117 and 39134?

Greatest common factor (GCF) of 39117 and 39134 is 17.

GCF(39117,39134) = 17

We will now calculate the prime factors of 39117 and 39134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39117 and 39134.

How to find the GCF of 39117 and 39134?

We will first find the prime factorization of 39117 and 39134. After we will calculate the factors of 39117 and 39134 and find the biggest common factor number .

Step-1: Prime Factorization of 39117

Prime factors of 39117 are 3, 13, 17, 59. Prime factorization of 39117 in exponential form is:

39117 = 3¹ × 13¹ × 17¹ × 59¹

Step-2: Prime Factorization of 39134

Prime factors of 39134 are 2, 17, 1151. Prime factorization of 39134 in exponential form is:

39134 = 2¹ × 17¹ × 1151¹

Step-3: Factors of 39117

List of positive integer factors of 39117 that divides 39117 without a remainder.

1, 3, 13, 17, 39, 51, 59, 177, 221, 663, 767, 1003, 2301, 3009, 13039

Step-4: Factors of 39134

List of positive integer factors of 39134 that divides 39117 without a remainder.

1, 2, 17, 34, 1151, 2302, 19567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39117 and 39134. The biggest common factor number is the GCF number.
So the greatest common factor 39117 and 39134 is 17.

Also check out the Least Common Multiple of 39117 and 39134