What is the Greatest Common Factor of 38010 and 38023?

Greatest common factor (GCF) of 38010 and 38023 is 1.

GCF(38010,38023) = 1

We will now calculate the prime factors of 38010 and 38023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38010 and 38023.

How to find the GCF of 38010 and 38023?

We will first find the prime factorization of 38010 and 38023. After we will calculate the factors of 38010 and 38023 and find the biggest common factor number .

Step-1: Prime Factorization of 38010

Prime factors of 38010 are 2, 3, 5, 7, 181. Prime factorization of 38010 in exponential form is:

38010 = 2¹ × 3¹ × 5¹ × 7¹ × 181¹

Step-2: Prime Factorization of 38023

Prime factors of 38023 are 47, 809. Prime factorization of 38023 in exponential form is:

38023 = 47¹ × 809¹

Step-3: Factors of 38010

List of positive integer factors of 38010 that divides 38010 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 181, 210, 362, 543, 905, 1086, 1267, 1810, 2534, 2715, 3801, 5430, 6335, 7602, 12670, 19005

Step-4: Factors of 38023

List of positive integer factors of 38023 that divides 38010 without a remainder.

1, 47, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38010 and 38023. The biggest common factor number is the GCF number.
So the greatest common factor 38010 and 38023 is 1.

Also check out the Least Common Multiple of 38010 and 38023