What is the Greatest Common Factor of 38145 and 38155?

Greatest common factor (GCF) of 38145 and 38155 is 5.

GCF(38145,38155) = 5

We will now calculate the prime factors of 38145 and 38155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38145 and 38155.

How to find the GCF of 38145 and 38155?

We will first find the prime factorization of 38145 and 38155. After we will calculate the factors of 38145 and 38155 and find the biggest common factor number .

Step-1: Prime Factorization of 38145

Prime factors of 38145 are 3, 5, 2543. Prime factorization of 38145 in exponential form is:

38145 = 3¹ × 5¹ × 2543¹

Step-2: Prime Factorization of 38155

Prime factors of 38155 are 5, 13, 587. Prime factorization of 38155 in exponential form is:

38155 = 5¹ × 13¹ × 587¹

Step-3: Factors of 38145

List of positive integer factors of 38145 that divides 38145 without a remainder.

1, 3, 5, 15, 2543, 7629, 12715

Step-4: Factors of 38155

List of positive integer factors of 38155 that divides 38145 without a remainder.

1, 5, 13, 65, 587, 2935, 7631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38145 and 38155. The biggest common factor number is the GCF number.
So the greatest common factor 38145 and 38155 is 5.

Also check out the Least Common Multiple of 38145 and 38155