What is the Greatest Common Factor of 68589 and 68598?

Greatest common factor (GCF) of 68589 and 68598 is 9.

GCF(68589,68598) = 9

We will now calculate the prime factors of 68589 and 68598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68589 and 68598.

How to find the GCF of 68589 and 68598?

We will first find the prime factorization of 68589 and 68598. After we will calculate the factors of 68589 and 68598 and find the biggest common factor number .

Step-1: Prime Factorization of 68589

Prime factors of 68589 are 3, 7621. Prime factorization of 68589 in exponential form is:

68589 = 3² × 7621¹

Step-2: Prime Factorization of 68598

Prime factors of 68598 are 2, 3, 37, 103. Prime factorization of 68598 in exponential form is:

68598 = 2¹ × 3² × 37¹ × 103¹

Step-3: Factors of 68589

List of positive integer factors of 68589 that divides 68589 without a remainder.

1, 3, 9, 7621, 22863

Step-4: Factors of 68598

List of positive integer factors of 68598 that divides 68589 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 103, 111, 206, 222, 309, 333, 618, 666, 927, 1854, 3811, 7622, 11433, 22866, 34299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68589 and 68598. The biggest common factor number is the GCF number.
So the greatest common factor 68589 and 68598 is 9.

Also check out the Least Common Multiple of 68589 and 68598