What is the Greatest Common Factor of 70398 and 70407?

Greatest common factor (GCF) of 70398 and 70407 is 9.

GCF(70398,70407) = 9

We will now calculate the prime factors of 70398 and 70407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70398 and 70407.

How to find the GCF of 70398 and 70407?

We will first find the prime factorization of 70398 and 70407. After we will calculate the factors of 70398 and 70407 and find the biggest common factor number .

Step-1: Prime Factorization of 70398

Prime factors of 70398 are 2, 3, 3911. Prime factorization of 70398 in exponential form is:

70398 = 2¹ × 3² × 3911¹

Step-2: Prime Factorization of 70407

Prime factors of 70407 are 3, 7823. Prime factorization of 70407 in exponential form is:

70407 = 3² × 7823¹

Step-3: Factors of 70398

List of positive integer factors of 70398 that divides 70398 without a remainder.

1, 2, 3, 6, 9, 18, 3911, 7822, 11733, 23466, 35199

Step-4: Factors of 70407

List of positive integer factors of 70407 that divides 70398 without a remainder.

1, 3, 9, 7823, 23469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70398 and 70407. The biggest common factor number is the GCF number.
So the greatest common factor 70398 and 70407 is 9.

Also check out the Least Common Multiple of 70398 and 70407