What is the Greatest Common Factor of 38115 and 38127?

Greatest common factor (GCF) of 38115 and 38127 is 3.

GCF(38115,38127) = 3

We will now calculate the prime factors of 38115 and 38127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38115 and 38127.

How to find the GCF of 38115 and 38127?

We will first find the prime factorization of 38115 and 38127. After we will calculate the factors of 38115 and 38127 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 38127

Prime factors of 38127 are 3, 71, 179. Prime factorization of 38127 in exponential form is:

38127 = 3¹ × 71¹ × 179¹

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 38127

List of positive integer factors of 38127 that divides 38115 without a remainder.

1, 3, 71, 179, 213, 537, 12709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38115 and 38127. The biggest common factor number is the GCF number.
So the greatest common factor 38115 and 38127 is 3.

Also check out the Least Common Multiple of 38115 and 38127