What is the Greatest Common Factor of 57294 and 57309?

Greatest common factor (GCF) of 57294 and 57309 is 3.

GCF(57294,57309) = 3

We will now calculate the prime factors of 57294 and 57309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57294 and 57309.

How to find the GCF of 57294 and 57309?

We will first find the prime factorization of 57294 and 57309. After we will calculate the factors of 57294 and 57309 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 57309

Prime factors of 57309 are 3, 7, 2729. Prime factorization of 57309 in exponential form is:

57309 = 3¹ × 7¹ × 2729¹

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 57309

List of positive integer factors of 57309 that divides 57294 without a remainder.

1, 3, 7, 21, 2729, 8187, 19103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57294 and 57309. The biggest common factor number is the GCF number.
So the greatest common factor 57294 and 57309 is 3.

Also check out the Least Common Multiple of 57294 and 57309