What is the Greatest Common Factor of 57294 and 57303?

Greatest common factor (GCF) of 57294 and 57303 is 9.

GCF(57294,57303) = 9

We will now calculate the prime factors of 57294 and 57303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57294 and 57303.

How to find the GCF of 57294 and 57303?

We will first find the prime factorization of 57294 and 57303. After we will calculate the factors of 57294 and 57303 and find the biggest common factor number .

Step-1: Prime Factorization of 57294

Prime factors of 57294 are 2, 3, 1061. Prime factorization of 57294 in exponential form is:

57294 = 2¹ × 3³ × 1061¹

Step-2: Prime Factorization of 57303

Prime factors of 57303 are 3, 6367. Prime factorization of 57303 in exponential form is:

57303 = 3² × 6367¹

Step-3: Factors of 57294

List of positive integer factors of 57294 that divides 57294 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1061, 2122, 3183, 6366, 9549, 19098, 28647

Step-4: Factors of 57303

List of positive integer factors of 57303 that divides 57294 without a remainder.

1, 3, 9, 6367, 19101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57294 and 57303. The biggest common factor number is the GCF number.
So the greatest common factor 57294 and 57303 is 9.

Also check out the Least Common Multiple of 57294 and 57303