What is the Greatest Common Factor of 70398 and 70403?

Greatest common factor (GCF) of 70398 and 70403 is 1.

GCF(70398,70403) = 1

We will now calculate the prime factors of 70398 and 70403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70398 and 70403.

How to find the GCF of 70398 and 70403?

We will first find the prime factorization of 70398 and 70403. After we will calculate the factors of 70398 and 70403 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 70403

Prime factors of 70403 are 23, 3061. Prime factorization of 70403 in exponential form is:

70403 = 23¹ × 3061¹

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 70403

List of positive integer factors of 70403 that divides 70398 without a remainder.

1, 23, 3061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70398 and 70403. The biggest common factor number is the GCF number.
So the greatest common factor 70398 and 70403 is 1.

Also check out the Least Common Multiple of 70398 and 70403