What is the Greatest Common Factor of 38294 and 38300?

Greatest common factor (GCF) of 38294 and 38300 is 2.

GCF(38294,38300) = 2

We will now calculate the prime factors of 38294 and 38300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38294 and 38300.

How to find the GCF of 38294 and 38300?

We will first find the prime factorization of 38294 and 38300. After we will calculate the factors of 38294 and 38300 and find the biggest common factor number .

Step-1: Prime Factorization of 38294

Prime factors of 38294 are 2, 41, 467. Prime factorization of 38294 in exponential form is:

38294 = 2¹ × 41¹ × 467¹

Step-2: Prime Factorization of 38300

Prime factors of 38300 are 2, 5, 383. Prime factorization of 38300 in exponential form is:

38300 = 2² × 5² × 383¹

Step-3: Factors of 38294

List of positive integer factors of 38294 that divides 38294 without a remainder.

1, 2, 41, 82, 467, 934, 19147

Step-4: Factors of 38300

List of positive integer factors of 38300 that divides 38294 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 383, 766, 1532, 1915, 3830, 7660, 9575, 19150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38294 and 38300. The biggest common factor number is the GCF number.
So the greatest common factor 38294 and 38300 is 2.

Also check out the Least Common Multiple of 38294 and 38300