What is the Greatest Common Factor of 38115 and 38135?

Greatest common factor (GCF) of 38115 and 38135 is 5.

GCF(38115,38135) = 5

We will now calculate the prime factors of 38115 and 38135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38115 and 38135.

How to find the GCF of 38115 and 38135?

We will first find the prime factorization of 38115 and 38135. After we will calculate the factors of 38115 and 38135 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 38135

Prime factors of 38135 are 5, 29, 263. Prime factorization of 38135 in exponential form is:

38135 = 5¹ × 29¹ × 263¹

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 38135

List of positive integer factors of 38135 that divides 38115 without a remainder.

1, 5, 29, 145, 263, 1315, 7627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38115 and 38135. The biggest common factor number is the GCF number.
So the greatest common factor 38115 and 38135 is 5.

Also check out the Least Common Multiple of 38115 and 38135