What is the Greatest Common Factor of 6314 and 6325?

Greatest common factor (GCF) of 6314 and 6325 is 11.

GCF(6314,6325) = 11

We will now calculate the prime factors of 6314 and 6325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6314 and 6325.

How to find the GCF of 6314 and 6325?

We will first find the prime factorization of 6314 and 6325. After we will calculate the factors of 6314 and 6325 and find the biggest common factor number .

Step-1: Prime Factorization of 6314

Prime factors of 6314 are 2, 7, 11, 41. Prime factorization of 6314 in exponential form is:

6314 = 2¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 6325

Prime factors of 6325 are 5, 11, 23. Prime factorization of 6325 in exponential form is:

6325 = 5² × 11¹ × 23¹

Step-3: Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157

Step-4: Factors of 6325

List of positive integer factors of 6325 that divides 6314 without a remainder.

1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6314 and 6325. The biggest common factor number is the GCF number.
So the greatest common factor 6314 and 6325 is 11.

Also check out the Least Common Multiple of 6314 and 6325