What is the Greatest Common Factor of 57909 and 57918?

Greatest common factor (GCF) of 57909 and 57918 is 3.

GCF(57909,57918) = 3

We will now calculate the prime factors of 57909 and 57918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57909 and 57918.

How to find the GCF of 57909 and 57918?

We will first find the prime factorization of 57909 and 57918. After we will calculate the factors of 57909 and 57918 and find the biggest common factor number .

Step-1: Prime Factorization of 57909

Prime factors of 57909 are 3, 97, 199. Prime factorization of 57909 in exponential form is:

57909 = 3¹ × 97¹ × 199¹

Step-2: Prime Factorization of 57918

Prime factors of 57918 are 2, 3, 7, 197. Prime factorization of 57918 in exponential form is:

57918 = 2¹ × 3¹ × 7² × 197¹

Step-3: Factors of 57909

List of positive integer factors of 57909 that divides 57909 without a remainder.

1, 3, 97, 199, 291, 597, 19303

Step-4: Factors of 57918

List of positive integer factors of 57918 that divides 57909 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 197, 294, 394, 591, 1182, 1379, 2758, 4137, 8274, 9653, 19306, 28959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57909 and 57918. The biggest common factor number is the GCF number.
So the greatest common factor 57909 and 57918 is 3.

Also check out the Least Common Multiple of 57909 and 57918