What is the Greatest Common Factor of 57239 and 57256?

Greatest common factor (GCF) of 57239 and 57256 is 17.

GCF(57239,57256) = 17

We will now calculate the prime factors of 57239 and 57256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57239 and 57256.

How to find the GCF of 57239 and 57256?

We will first find the prime factorization of 57239 and 57256. After we will calculate the factors of 57239 and 57256 and find the biggest common factor number .

Step-1: Prime Factorization of 57239

Prime factors of 57239 are 7, 13, 17, 37. Prime factorization of 57239 in exponential form is:

57239 = 7¹ × 13¹ × 17¹ × 37¹

Step-2: Prime Factorization of 57256

Prime factors of 57256 are 2, 17, 421. Prime factorization of 57256 in exponential form is:

57256 = 2³ × 17¹ × 421¹

Step-3: Factors of 57239

List of positive integer factors of 57239 that divides 57239 without a remainder.

1, 7, 13, 17, 37, 91, 119, 221, 259, 481, 629, 1547, 3367, 4403, 8177

Step-4: Factors of 57256

List of positive integer factors of 57256 that divides 57239 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 421, 842, 1684, 3368, 7157, 14314, 28628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57239 and 57256. The biggest common factor number is the GCF number.
So the greatest common factor 57239 and 57256 is 17.

Also check out the Least Common Multiple of 57239 and 57256