What is the Greatest Common Factor of 68253 and 68265?

Greatest common factor (GCF) of 68253 and 68265 is 3.

GCF(68253,68265) = 3

We will now calculate the prime factors of 68253 and 68265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68253 and 68265.

How to find the GCF of 68253 and 68265?

We will first find the prime factorization of 68253 and 68265. After we will calculate the factors of 68253 and 68265 and find the biggest common factor number .

Step-1: Prime Factorization of 68253

Prime factors of 68253 are 3, 22751. Prime factorization of 68253 in exponential form is:

68253 = 3¹ × 22751¹

Step-2: 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-3: Factors of 68253

List of positive integer factors of 68253 that divides 68253 without a remainder.

1, 3, 22751

Step-4: Factors of 68265

List of positive integer factors of 68265 that divides 68253 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68253 and 68265. The biggest common factor number is the GCF number.
So the greatest common factor 68253 and 68265 is 3.

Also check out the Least Common Multiple of 68253 and 68265