What is the Greatest Common Factor of 38246 and 38259?

Greatest common factor (GCF) of 38246 and 38259 is 13.

GCF(38246,38259) = 13

We will now calculate the prime factors of 38246 and 38259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38246 and 38259.

How to find the GCF of 38246 and 38259?

We will first find the prime factorization of 38246 and 38259. After we will calculate the factors of 38246 and 38259 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38259

Prime factors of 38259 are 3, 13, 109. Prime factorization of 38259 in exponential form is:

38259 = 3³ × 13¹ × 109¹

Step-3: Factors of 38246

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

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

Step-4: Factors of 38259

List of positive integer factors of 38259 that divides 38246 without a remainder.

1, 3, 9, 13, 27, 39, 109, 117, 327, 351, 981, 1417, 2943, 4251, 12753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38246 and 38259. The biggest common factor number is the GCF number.
So the greatest common factor 38246 and 38259 is 13.

Also check out the Least Common Multiple of 38246 and 38259