What is the Greatest Common Factor of 39117 and 39130?

Greatest common factor (GCF) of 39117 and 39130 is 13.

GCF(39117,39130) = 13

We will now calculate the prime factors of 39117 and 39130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39117 and 39130.

How to find the GCF of 39117 and 39130?

We will first find the prime factorization of 39117 and 39130. After we will calculate the factors of 39117 and 39130 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 39130

Prime factors of 39130 are 2, 5, 7, 13, 43. Prime factorization of 39130 in exponential form is:

39130 = 2¹ × 5¹ × 7¹ × 13¹ × 43¹

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 39130

List of positive integer factors of 39130 that divides 39117 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 43, 65, 70, 86, 91, 130, 182, 215, 301, 430, 455, 559, 602, 910, 1118, 1505, 2795, 3010, 3913, 5590, 7826, 19565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39117 and 39130. The biggest common factor number is the GCF number.
So the greatest common factor 39117 and 39130 is 13.

Also check out the Least Common Multiple of 39117 and 39130