What is the Greatest Common Factor of 38115 and 38129?

Greatest common factor (GCF) of 38115 and 38129 is 7.

GCF(38115,38129) = 7

We will now calculate the prime factors of 38115 and 38129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38115 and 38129.

How to find the GCF of 38115 and 38129?

We will first find the prime factorization of 38115 and 38129. After we will calculate the factors of 38115 and 38129 and find the biggest common factor number .

Step-1: Prime Factorization of 38115

Prime factors of 38115 are 3, 5, 7, 11. Prime factorization of 38115 in exponential form is:

38115 = 3² × 5¹ × 7¹ × 11²

Step-2: Prime Factorization of 38129

Prime factors of 38129 are 7, 13, 419. Prime factorization of 38129 in exponential form is:

38129 = 7¹ × 13¹ × 419¹

Step-3: Factors of 38115

List of positive integer factors of 38115 that divides 38115 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 121, 165, 231, 315, 363, 385, 495, 605, 693, 847, 1089, 1155, 1815, 2541, 3465, 4235, 5445, 7623, 12705

Step-4: Factors of 38129

List of positive integer factors of 38129 that divides 38115 without a remainder.

1, 7, 13, 91, 419, 2933, 5447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38115 and 38129. The biggest common factor number is the GCF number.
So the greatest common factor 38115 and 38129 is 7.

Also check out the Least Common Multiple of 38115 and 38129