What is the Greatest Common Factor of 79389 and 79398?

Greatest common factor (GCF) of 79389 and 79398 is 9.

GCF(79389,79398) = 9

We will now calculate the prime factors of 79389 and 79398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79389 and 79398.

How to find the GCF of 79389 and 79398?

We will first find the prime factorization of 79389 and 79398. After we will calculate the factors of 79389 and 79398 and find the biggest common factor number .

Step-1: Prime Factorization of 79389

Prime factors of 79389 are 3, 8821. Prime factorization of 79389 in exponential form is:

79389 = 3² × 8821¹

Step-2: 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-3: Factors of 79389

List of positive integer factors of 79389 that divides 79389 without a remainder.

1, 3, 9, 8821, 26463

Step-4: Factors of 79398

List of positive integer factors of 79398 that divides 79389 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79389 and 79398. The biggest common factor number is the GCF number.
So the greatest common factor 79389 and 79398 is 9.

Also check out the Least Common Multiple of 79389 and 79398