What is the Greatest Common Factor of 38249 and 38259?

Greatest common factor (GCF) of 38249 and 38259 is 1.

GCF(38249,38259) = 1

We will now calculate the prime factors of 38249 and 38259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38249 and 38259.

How to find the GCF of 38249 and 38259?

We will first find the prime factorization of 38249 and 38259. After we will calculate the factors of 38249 and 38259 and find the biggest common factor number .

Step-1: Prime Factorization of 38249

Prime factors of 38249 are 23, 1663. Prime factorization of 38249 in exponential form is:

38249 = 23¹ × 1663¹

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 38249

List of positive integer factors of 38249 that divides 38249 without a remainder.

1, 23, 1663

Step-4: Factors of 38259

List of positive integer factors of 38259 that divides 38249 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 38249 and 38259. The biggest common factor number is the GCF number.
So the greatest common factor 38249 and 38259 is 1.

Also check out the Least Common Multiple of 38249 and 38259