What is the Greatest Common Factor of 38590 and 38601?

Greatest common factor (GCF) of 38590 and 38601 is 1.

GCF(38590,38601) = 1

We will now calculate the prime factors of 38590 and 38601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38590 and 38601.

How to find the GCF of 38590 and 38601?

We will first find the prime factorization of 38590 and 38601. After we will calculate the factors of 38590 and 38601 and find the biggest common factor number .

Step-1: Prime Factorization of 38590

Prime factors of 38590 are 2, 5, 17, 227. Prime factorization of 38590 in exponential form is:

38590 = 2¹ × 5¹ × 17¹ × 227¹

Step-2: Prime Factorization of 38601

Prime factors of 38601 are 3, 4289. Prime factorization of 38601 in exponential form is:

38601 = 3² × 4289¹

Step-3: Factors of 38590

List of positive integer factors of 38590 that divides 38590 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 227, 454, 1135, 2270, 3859, 7718, 19295

Step-4: Factors of 38601

List of positive integer factors of 38601 that divides 38590 without a remainder.

1, 3, 9, 4289, 12867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38590 and 38601. The biggest common factor number is the GCF number.
So the greatest common factor 38590 and 38601 is 1.

Also check out the Least Common Multiple of 38590 and 38601