What is the Greatest Common Factor of 38338 and 38354?

Greatest common factor (GCF) of 38338 and 38354 is 2.

GCF(38338,38354) = 2

We will now calculate the prime factors of 38338 and 38354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38338 and 38354.

How to find the GCF of 38338 and 38354?

We will first find the prime factorization of 38338 and 38354. After we will calculate the factors of 38338 and 38354 and find the biggest common factor number .

Step-1: Prime Factorization of 38338

Prime factors of 38338 are 2, 29, 661. Prime factorization of 38338 in exponential form is:

38338 = 2¹ × 29¹ × 661¹

Step-2: Prime Factorization of 38354

Prime factors of 38354 are 2, 127, 151. Prime factorization of 38354 in exponential form is:

38354 = 2¹ × 127¹ × 151¹

Step-3: Factors of 38338

List of positive integer factors of 38338 that divides 38338 without a remainder.

1, 2, 29, 58, 661, 1322, 19169

Step-4: Factors of 38354

List of positive integer factors of 38354 that divides 38338 without a remainder.

1, 2, 127, 151, 254, 302, 19177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38338 and 38354. The biggest common factor number is the GCF number.
So the greatest common factor 38338 and 38354 is 2.

Also check out the Least Common Multiple of 38338 and 38354