What is the Greatest Common Factor of 57309 and 57314?

Greatest common factor (GCF) of 57309 and 57314 is 1.

GCF(57309,57314) = 1

We will now calculate the prime factors of 57309 and 57314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57309 and 57314.

How to find the GCF of 57309 and 57314?

We will first find the prime factorization of 57309 and 57314. After we will calculate the factors of 57309 and 57314 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 57314

Prime factors of 57314 are 2, 28657. Prime factorization of 57314 in exponential form is:

57314 = 2¹ × 28657¹

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 57314

List of positive integer factors of 57314 that divides 57309 without a remainder.

1, 2, 28657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57309 and 57314. The biggest common factor number is the GCF number.
So the greatest common factor 57309 and 57314 is 1.

Also check out the Least Common Multiple of 57309 and 57314