What is the Greatest Common Factor of 57309 and 57324?

Greatest common factor (GCF) of 57309 and 57324 is 3.

GCF(57309,57324) = 3

We will now calculate the prime factors of 57309 and 57324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57309 and 57324.

How to find the GCF of 57309 and 57324?

We will first find the prime factorization of 57309 and 57324. After we will calculate the factors of 57309 and 57324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57324

Prime factors of 57324 are 2, 3, 17, 281. Prime factorization of 57324 in exponential form is:

57324 = 2² × 3¹ × 17¹ × 281¹

Step-3: Factors of 57309

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

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

Step-4: Factors of 57324

List of positive integer factors of 57324 that divides 57309 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 281, 562, 843, 1124, 1686, 3372, 4777, 9554, 14331, 19108, 28662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57309 and 57324. The biggest common factor number is the GCF number.
So the greatest common factor 57309 and 57324 is 3.

Also check out the Least Common Multiple of 57309 and 57324