What is the Greatest Common Factor of 70398 and 70410?

Greatest common factor (GCF) of 70398 and 70410 is 6.

GCF(70398,70410) = 6

We will now calculate the prime factors of 70398 and 70410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70398 and 70410.

How to find the GCF of 70398 and 70410?

We will first find the prime factorization of 70398 and 70410. After we will calculate the factors of 70398 and 70410 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 70410

Prime factors of 70410 are 2, 3, 5, 2347. Prime factorization of 70410 in exponential form is:

70410 = 2¹ × 3¹ × 5¹ × 2347¹

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 70410

List of positive integer factors of 70410 that divides 70398 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2347, 4694, 7041, 11735, 14082, 23470, 35205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70398 and 70410. The biggest common factor number is the GCF number.
So the greatest common factor 70398 and 70410 is 6.

Also check out the Least Common Multiple of 70398 and 70410