What is the Greatest Common Factor of 6240 and 6255?

Greatest common factor (GCF) of 6240 and 6255 is 15.

GCF(6240,6255) = 15

We will now calculate the prime factors of 6240 and 6255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6240 and 6255.

How to find the GCF of 6240 and 6255?

We will first find the prime factorization of 6240 and 6255. After we will calculate the factors of 6240 and 6255 and find the biggest common factor number .

Step-1: Prime Factorization of 6240

Prime factors of 6240 are 2, 3, 5, 13. Prime factorization of 6240 in exponential form is:

6240 = 2⁵ × 3¹ × 5¹ × 13¹

Step-2: Prime Factorization of 6255

Prime factors of 6255 are 3, 5, 139. Prime factorization of 6255 in exponential form is:

6255 = 3² × 5¹ × 139¹

Step-3: Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120

Step-4: Factors of 6255

List of positive integer factors of 6255 that divides 6240 without a remainder.

1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6240 and 6255. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6255 is 15.

Also check out the Least Common Multiple of 6240 and 6255