What is the Greatest Common Factor of 68265 and 68280?

Greatest common factor (GCF) of 68265 and 68280 is 15.

GCF(68265,68280) = 15

We will now calculate the prime factors of 68265 and 68280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68265 and 68280.

How to find the GCF of 68265 and 68280?

We will first find the prime factorization of 68265 and 68280. After we will calculate the factors of 68265 and 68280 and find the biggest common factor number .

Step-1: Prime Factorization of 68265

Prime factors of 68265 are 3, 5, 37, 41. Prime factorization of 68265 in exponential form is:

68265 = 3² × 5¹ × 37¹ × 41¹

Step-2: Prime Factorization of 68280

Prime factors of 68280 are 2, 3, 5, 569. Prime factorization of 68280 in exponential form is:

68280 = 2³ × 3¹ × 5¹ × 569¹

Step-3: Factors of 68265

List of positive integer factors of 68265 that divides 68265 without a remainder.

1, 3, 5, 9, 15, 37, 41, 45, 111, 123, 185, 205, 333, 369, 555, 615, 1517, 1665, 1845, 4551, 7585, 13653, 22755

Step-4: Factors of 68280

List of positive integer factors of 68280 that divides 68265 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 569, 1138, 1707, 2276, 2845, 3414, 4552, 5690, 6828, 8535, 11380, 13656, 17070, 22760, 34140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68265 and 68280. The biggest common factor number is the GCF number.
So the greatest common factor 68265 and 68280 is 15.

Also check out the Least Common Multiple of 68265 and 68280