What is the Greatest Common Factor of 68559 and 68565?

Greatest common factor (GCF) of 68559 and 68565 is 3.

GCF(68559,68565) = 3

We will now calculate the prime factors of 68559 and 68565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68559 and 68565.

How to find the GCF of 68559 and 68565?

We will first find the prime factorization of 68559 and 68565. After we will calculate the factors of 68559 and 68565 and find the biggest common factor number .

Step-1: Prime Factorization of 68559

Prime factors of 68559 are 3, 22853. Prime factorization of 68559 in exponential form is:

68559 = 3¹ × 22853¹

Step-2: Prime Factorization of 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 3¹ × 5¹ × 7¹ × 653¹

Step-3: Factors of 68559

List of positive integer factors of 68559 that divides 68559 without a remainder.

1, 3, 22853

Step-4: Factors of 68565

List of positive integer factors of 68565 that divides 68559 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 653, 1959, 3265, 4571, 9795, 13713, 22855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68559 and 68565. The biggest common factor number is the GCF number.
So the greatest common factor 68559 and 68565 is 3.

Also check out the Least Common Multiple of 68559 and 68565