What is the Greatest Common Factor of 79398 and 79409?

Greatest common factor (GCF) of 79398 and 79409 is 11.

GCF(79398,79409) = 11

We will now calculate the prime factors of 79398 and 79409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79398 and 79409.

How to find the GCF of 79398 and 79409?

We will first find the prime factorization of 79398 and 79409. After we will calculate the factors of 79398 and 79409 and find the biggest common factor number .

Step-1: Prime Factorization of 79398

Prime factors of 79398 are 2, 3, 11, 401. Prime factorization of 79398 in exponential form is:

79398 = 2¹ × 3² × 11¹ × 401¹

Step-2: Prime Factorization of 79409

Prime factors of 79409 are 11, 7219. Prime factorization of 79409 in exponential form is:

79409 = 11¹ × 7219¹

Step-3: Factors of 79398

List of positive integer factors of 79398 that divides 79398 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 401, 802, 1203, 2406, 3609, 4411, 7218, 8822, 13233, 26466, 39699

Step-4: Factors of 79409

List of positive integer factors of 79409 that divides 79398 without a remainder.

1, 11, 7219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79398 and 79409. The biggest common factor number is the GCF number.
So the greatest common factor 79398 and 79409 is 11.

Also check out the Least Common Multiple of 79398 and 79409