What is the Greatest Common Factor of 38570 and 38590?

Greatest common factor (GCF) of 38570 and 38590 is 10.

GCF(38570,38590) = 10

We will now calculate the prime factors of 38570 and 38590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38570 and 38590.

How to find the GCF of 38570 and 38590?

We will first find the prime factorization of 38570 and 38590. After we will calculate the factors of 38570 and 38590 and find the biggest common factor number .

Step-1: Prime Factorization of 38570

Prime factors of 38570 are 2, 5, 7, 19, 29. Prime factorization of 38570 in exponential form is:

38570 = 2¹ × 5¹ × 7¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 38570

List of positive integer factors of 38570 that divides 38570 without a remainder.

1, 2, 5, 7, 10, 14, 19, 29, 35, 38, 58, 70, 95, 133, 145, 190, 203, 266, 290, 406, 551, 665, 1015, 1102, 1330, 2030, 2755, 3857, 5510, 7714, 19285

Step-4: Factors of 38590

List of positive integer factors of 38590 that divides 38570 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38570 and 38590. The biggest common factor number is the GCF number.
So the greatest common factor 38570 and 38590 is 10.

Also check out the Least Common Multiple of 38570 and 38590