What is the Greatest Common Factor of 38233 and 38246?

Greatest common factor (GCF) of 38233 and 38246 is 13.

GCF(38233,38246) = 13

We will now calculate the prime factors of 38233 and 38246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38233 and 38246.

How to find the GCF of 38233 and 38246?

We will first find the prime factorization of 38233 and 38246. After we will calculate the factors of 38233 and 38246 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38246

Prime factors of 38246 are 2, 13, 1471. Prime factorization of 38246 in exponential form is:

38246 = 2¹ × 13¹ × 1471¹

Step-3: Factors of 38233

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

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

Step-4: Factors of 38246

List of positive integer factors of 38246 that divides 38233 without a remainder.

1, 2, 13, 26, 1471, 2942, 19123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38233 and 38246. The biggest common factor number is the GCF number.
So the greatest common factor 38233 and 38246 is 13.

Also check out the Least Common Multiple of 38233 and 38246