What is the Greatest Common Factor of 38160 and 38177?

Greatest common factor (GCF) of 38160 and 38177 is 1.

GCF(38160,38177) = 1

We will now calculate the prime factors of 38160 and 38177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38160 and 38177.

How to find the GCF of 38160 and 38177?

We will first find the prime factorization of 38160 and 38177. After we will calculate the factors of 38160 and 38177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38177

Prime factors of 38177 are 38177. Prime factorization of 38177 in exponential form is:

38177 = 38177¹

Step-3: Factors of 38160

List of positive integer factors of 38160 that divides 38160 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

Step-4: Factors of 38177

List of positive integer factors of 38177 that divides 38160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38160 and 38177. The biggest common factor number is the GCF number.
So the greatest common factor 38160 and 38177 is 1.

Also check out the Least Common Multiple of 38160 and 38177