What is the Greatest Common Factor of 34238 and 34257?

Greatest common factor (GCF) of 34238 and 34257 is 19.

GCF(34238,34257) = 19

We will now calculate the prime factors of 34238 and 34257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34238 and 34257.

How to find the GCF of 34238 and 34257?

We will first find the prime factorization of 34238 and 34257. After we will calculate the factors of 34238 and 34257 and find the biggest common factor number .

Step-1: Prime Factorization of 34238

Prime factors of 34238 are 2, 17, 19, 53. Prime factorization of 34238 in exponential form is:

34238 = 2¹ × 17¹ × 19¹ × 53¹

Step-2: Prime Factorization of 34257

Prime factors of 34257 are 3, 19, 601. Prime factorization of 34257 in exponential form is:

34257 = 3¹ × 19¹ × 601¹

Step-3: Factors of 34238

List of positive integer factors of 34238 that divides 34238 without a remainder.

1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119

Step-4: Factors of 34257

List of positive integer factors of 34257 that divides 34238 without a remainder.

1, 3, 19, 57, 601, 1803, 11419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34238 and 34257. The biggest common factor number is the GCF number.
So the greatest common factor 34238 and 34257 is 19.

Also check out the Least Common Multiple of 34238 and 34257