What is the Greatest Common Factor of 57314 and 57320?

Greatest common factor (GCF) of 57314 and 57320 is 2.

GCF(57314,57320) = 2

We will now calculate the prime factors of 57314 and 57320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57314 and 57320.

How to find the GCF of 57314 and 57320?

We will first find the prime factorization of 57314 and 57320. After we will calculate the factors of 57314 and 57320 and find the biggest common factor number .

Step-1: Prime Factorization of 57314

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

57314 = 2¹ × 28657¹

Step-2: Prime Factorization of 57320

Prime factors of 57320 are 2, 5, 1433. Prime factorization of 57320 in exponential form is:

57320 = 2³ × 5¹ × 1433¹

Step-3: Factors of 57314

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

1, 2, 28657

Step-4: Factors of 57320

List of positive integer factors of 57320 that divides 57314 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1433, 2866, 5732, 7165, 11464, 14330, 28660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57314 and 57320. The biggest common factor number is the GCF number.
So the greatest common factor 57314 and 57320 is 2.

Also check out the Least Common Multiple of 57314 and 57320