What is the Greatest Common Factor of 38259 and 38277?

Greatest common factor (GCF) of 38259 and 38277 is 9.

GCF(38259,38277) = 9

We will now calculate the prime factors of 38259 and 38277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38259 and 38277.

How to find the GCF of 38259 and 38277?

We will first find the prime factorization of 38259 and 38277. After we will calculate the factors of 38259 and 38277 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38277

Prime factors of 38277 are 3, 4253. Prime factorization of 38277 in exponential form is:

38277 = 3² × 4253¹

Step-3: Factors of 38259

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

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

Step-4: Factors of 38277

List of positive integer factors of 38277 that divides 38259 without a remainder.

1, 3, 9, 4253, 12759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38259 and 38277. The biggest common factor number is the GCF number.
So the greatest common factor 38259 and 38277 is 9.

Also check out the Least Common Multiple of 38259 and 38277