What is the Greatest Common Factor of 6325 and 6335?

Greatest common factor (GCF) of 6325 and 6335 is 5.

GCF(6325,6335) = 5

We will now calculate the prime factors of 6325 and 6335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6325 and 6335.

How to find the GCF of 6325 and 6335?

We will first find the prime factorization of 6325 and 6335. After we will calculate the factors of 6325 and 6335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6335

Prime factors of 6335 are 5, 7, 181. Prime factorization of 6335 in exponential form is:

6335 = 5¹ × 7¹ × 181¹

Step-3: Factors of 6325

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

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

Step-4: Factors of 6335

List of positive integer factors of 6335 that divides 6325 without a remainder.

1, 5, 7, 35, 181, 905, 1267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6325 and 6335. The biggest common factor number is the GCF number.
So the greatest common factor 6325 and 6335 is 5.

Also check out the Least Common Multiple of 6325 and 6335