What is the Greatest Common Factor of 38155 and 38160?

Greatest common factor (GCF) of 38155 and 38160 is 5.

GCF(38155,38160) = 5

We will now calculate the prime factors of 38155 and 38160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38155 and 38160.

How to find the GCF of 38155 and 38160?

We will first find the prime factorization of 38155 and 38160. After we will calculate the factors of 38155 and 38160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38160

Prime factors of 38160 are 2, 3, 5, 53. Prime factorization of 38160 in exponential form is:

38160 = 2⁴ × 3² × 5¹ × 53¹

Step-3: Factors of 38155

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

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

Step-4: Factors of 38160

List of positive integer factors of 38160 that divides 38155 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 53, 60, 72, 80, 90, 106, 120, 144, 159, 180, 212, 240, 265, 318, 360, 424, 477, 530, 636, 720, 795, 848, 954, 1060, 1272, 1590, 1908, 2120, 2385, 2544, 3180, 3816, 4240, 4770, 6360, 7632, 9540, 12720, 19080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38155 and 38160. The biggest common factor number is the GCF number.
So the greatest common factor 38155 and 38160 is 5.

Also check out the Least Common Multiple of 38155 and 38160