What is the Greatest Common Factor of 38370 and 38390?

Greatest common factor (GCF) of 38370 and 38390 is 10.

GCF(38370,38390) = 10

We will now calculate the prime factors of 38370 and 38390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38370 and 38390.

How to find the GCF of 38370 and 38390?

We will first find the prime factorization of 38370 and 38390. After we will calculate the factors of 38370 and 38390 and find the biggest common factor number .

Step-1: Prime Factorization of 38370

Prime factors of 38370 are 2, 3, 5, 1279. Prime factorization of 38370 in exponential form is:

38370 = 2¹ × 3¹ × 5¹ × 1279¹

Step-2: Prime Factorization of 38390

Prime factors of 38390 are 2, 5, 11, 349. Prime factorization of 38390 in exponential form is:

38390 = 2¹ × 5¹ × 11¹ × 349¹

Step-3: Factors of 38370

List of positive integer factors of 38370 that divides 38370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1279, 2558, 3837, 6395, 7674, 12790, 19185

Step-4: Factors of 38390

List of positive integer factors of 38390 that divides 38370 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 349, 698, 1745, 3490, 3839, 7678, 19195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38370 and 38390. The biggest common factor number is the GCF number.
So the greatest common factor 38370 and 38390 is 10.

Also check out the Least Common Multiple of 38370 and 38390