What is the Greatest Common Factor of 38845 and 38862?

Greatest common factor (GCF) of 38845 and 38862 is 17.

GCF(38845,38862) = 17

We will now calculate the prime factors of 38845 and 38862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38845 and 38862.

How to find the GCF of 38845 and 38862?

We will first find the prime factorization of 38845 and 38862. After we will calculate the factors of 38845 and 38862 and find the biggest common factor number .

Step-1: Prime Factorization of 38845

Prime factors of 38845 are 5, 17, 457. Prime factorization of 38845 in exponential form is:

38845 = 5¹ × 17¹ × 457¹

Step-2: Prime Factorization of 38862

Prime factors of 38862 are 2, 3, 17, 127. Prime factorization of 38862 in exponential form is:

38862 = 2¹ × 3² × 17¹ × 127¹

Step-3: Factors of 38845

List of positive integer factors of 38845 that divides 38845 without a remainder.

1, 5, 17, 85, 457, 2285, 7769

Step-4: Factors of 38862

List of positive integer factors of 38862 that divides 38845 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 127, 153, 254, 306, 381, 762, 1143, 2159, 2286, 4318, 6477, 12954, 19431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38845 and 38862. The biggest common factor number is the GCF number.
So the greatest common factor 38845 and 38862 is 17.

Also check out the Least Common Multiple of 38845 and 38862