What is the Greatest Common Factor of 6319 and 6325?

Greatest common factor (GCF) of 6319 and 6325 is 1.

GCF(6319,6325) = 1

We will now calculate the prime factors of 6319 and 6325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6319 and 6325.

How to find the GCF of 6319 and 6325?

We will first find the prime factorization of 6319 and 6325. After we will calculate the factors of 6319 and 6325 and find the biggest common factor number .

Step-1: Prime Factorization of 6319

Prime factors of 6319 are 71, 89. Prime factorization of 6319 in exponential form is:

6319 = 71¹ × 89¹

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 6319

List of positive integer factors of 6319 that divides 6319 without a remainder.

1, 71, 89

Step-4: Factors of 6325

List of positive integer factors of 6325 that divides 6319 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 6319 and 6325. The biggest common factor number is the GCF number.
So the greatest common factor 6319 and 6325 is 1.

Also check out the Least Common Multiple of 6319 and 6325