What is the Greatest Common Factor of 38226 and 38233?

Greatest common factor (GCF) of 38226 and 38233 is 1.

GCF(38226,38233) = 1

We will now calculate the prime factors of 38226 and 38233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38226 and 38233.

How to find the GCF of 38226 and 38233?

We will first find the prime factorization of 38226 and 38233. After we will calculate the factors of 38226 and 38233 and find the biggest common factor number .

Step-1: Prime Factorization of 38226

Prime factors of 38226 are 2, 3, 23, 277. Prime factorization of 38226 in exponential form is:

38226 = 2¹ × 3¹ × 23¹ × 277¹

Step-2: Prime Factorization of 38233

Prime factors of 38233 are 13, 17, 173. Prime factorization of 38233 in exponential form is:

38233 = 13¹ × 17¹ × 173¹

Step-3: Factors of 38226

List of positive integer factors of 38226 that divides 38226 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 277, 554, 831, 1662, 6371, 12742, 19113

Step-4: Factors of 38233

List of positive integer factors of 38233 that divides 38226 without a remainder.

1, 13, 17, 173, 221, 2249, 2941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38226 and 38233. The biggest common factor number is the GCF number.
So the greatest common factor 38226 and 38233 is 1.

Also check out the Least Common Multiple of 38226 and 38233