What is the Greatest Common Factor of 57137 and 57154?

Greatest common factor (GCF) of 57137 and 57154 is 17.

GCF(57137,57154) = 17

We will now calculate the prime factors of 57137 and 57154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57137 and 57154.

How to find the GCF of 57137 and 57154?

We will first find the prime factorization of 57137 and 57154. After we will calculate the factors of 57137 and 57154 and find the biggest common factor number .

Step-1: Prime Factorization of 57137

Prime factors of 57137 are 17, 3361. Prime factorization of 57137 in exponential form is:

57137 = 17¹ × 3361¹

Step-2: Prime Factorization of 57154

Prime factors of 57154 are 2, 17, 41. Prime factorization of 57154 in exponential form is:

57154 = 2¹ × 17¹ × 41²

Step-3: Factors of 57137

List of positive integer factors of 57137 that divides 57137 without a remainder.

1, 17, 3361

Step-4: Factors of 57154

List of positive integer factors of 57154 that divides 57137 without a remainder.

1, 2, 17, 34, 41, 82, 697, 1394, 1681, 3362, 28577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57137 and 57154. The biggest common factor number is the GCF number.
So the greatest common factor 57137 and 57154 is 17.

Also check out the Least Common Multiple of 57137 and 57154