What is the Greatest Common Factor of 68398 and 68409?

Greatest common factor (GCF) of 68398 and 68409 is 11.

GCF(68398,68409) = 11

We will now calculate the prime factors of 68398 and 68409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68398 and 68409.

How to find the GCF of 68398 and 68409?

We will first find the prime factorization of 68398 and 68409. After we will calculate the factors of 68398 and 68409 and find the biggest common factor number .

Step-1: Prime Factorization of 68398

Prime factors of 68398 are 2, 11, 3109. Prime factorization of 68398 in exponential form is:

68398 = 2¹ × 11¹ × 3109¹

Step-2: Prime Factorization of 68409

Prime factors of 68409 are 3, 11, 691. Prime factorization of 68409 in exponential form is:

68409 = 3² × 11¹ × 691¹

Step-3: Factors of 68398

List of positive integer factors of 68398 that divides 68398 without a remainder.

1, 2, 11, 22, 3109, 6218, 34199

Step-4: Factors of 68409

List of positive integer factors of 68409 that divides 68398 without a remainder.

1, 3, 9, 11, 33, 99, 691, 2073, 6219, 7601, 22803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68398 and 68409. The biggest common factor number is the GCF number.
So the greatest common factor 68398 and 68409 is 11.

Also check out the Least Common Multiple of 68398 and 68409