What is the Greatest Common Factor of 38085 and 38090?

Greatest common factor (GCF) of 38085 and 38090 is 5.

GCF(38085,38090) = 5

We will now calculate the prime factors of 38085 and 38090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38085 and 38090.

How to find the GCF of 38085 and 38090?

We will first find the prime factorization of 38085 and 38090. After we will calculate the factors of 38085 and 38090 and find the biggest common factor number .

Step-1: Prime Factorization of 38085

Prime factors of 38085 are 3, 5, 2539. Prime factorization of 38085 in exponential form is:

38085 = 3¹ × 5¹ × 2539¹

Step-2: Prime Factorization of 38090

Prime factors of 38090 are 2, 5, 13, 293. Prime factorization of 38090 in exponential form is:

38090 = 2¹ × 5¹ × 13¹ × 293¹

Step-3: Factors of 38085

List of positive integer factors of 38085 that divides 38085 without a remainder.

1, 3, 5, 15, 2539, 7617, 12695

Step-4: Factors of 38090

List of positive integer factors of 38090 that divides 38085 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 293, 586, 1465, 2930, 3809, 7618, 19045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38085 and 38090. The biggest common factor number is the GCF number.
So the greatest common factor 38085 and 38090 is 5.

Also check out the Least Common Multiple of 38085 and 38090