What is the Greatest Common Factor of 38862 and 38879?

Greatest common factor (GCF) of 38862 and 38879 is 17.

GCF(38862,38879) = 17

We will now calculate the prime factors of 38862 and 38879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38862 and 38879.

How to find the GCF of 38862 and 38879?

We will first find the prime factorization of 38862 and 38879. After we will calculate the factors of 38862 and 38879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38879

Prime factors of 38879 are 17, 2287. Prime factorization of 38879 in exponential form is:

38879 = 17¹ × 2287¹

Step-3: Factors of 38862

List of positive integer factors of 38862 that divides 38862 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

Step-4: Factors of 38879

List of positive integer factors of 38879 that divides 38862 without a remainder.

1, 17, 2287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38862 and 38879. The biggest common factor number is the GCF number.
So the greatest common factor 38862 and 38879 is 17.

Also check out the Least Common Multiple of 38862 and 38879