What is the Greatest Common Factor of 6285 and 6295?

Greatest common factor (GCF) of 6285 and 6295 is 5.

GCF(6285,6295) = 5

We will now calculate the prime factors of 6285 and 6295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6285 and 6295.

How to find the GCF of 6285 and 6295?

We will first find the prime factorization of 6285 and 6295. After we will calculate the factors of 6285 and 6295 and find the biggest common factor number .

Step-1: Prime Factorization of 6285

Prime factors of 6285 are 3, 5, 419. Prime factorization of 6285 in exponential form is:

6285 = 3¹ × 5¹ × 419¹

Step-2: Prime Factorization of 6295

Prime factors of 6295 are 5, 1259. Prime factorization of 6295 in exponential form is:

6295 = 5¹ × 1259¹

Step-3: Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1, 3, 5, 15, 419, 1257, 2095

Step-4: Factors of 6295

List of positive integer factors of 6295 that divides 6285 without a remainder.

1, 5, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6285 and 6295. The biggest common factor number is the GCF number.
So the greatest common factor 6285 and 6295 is 5.

Also check out the Least Common Multiple of 6285 and 6295