What is the Greatest Common Factor of 70407 and 70422?

Greatest common factor (GCF) of 70407 and 70422 is 3.

GCF(70407,70422) = 3

We will now calculate the prime factors of 70407 and 70422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70407 and 70422.

How to find the GCF of 70407 and 70422?

We will first find the prime factorization of 70407 and 70422. After we will calculate the factors of 70407 and 70422 and find the biggest common factor number .

Step-1: Prime Factorization of 70407

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

70407 = 3² × 7823¹

Step-2: Prime Factorization of 70422

Prime factors of 70422 are 2, 3, 11, 97. Prime factorization of 70422 in exponential form is:

70422 = 2¹ × 3¹ × 11² × 97¹

Step-3: Factors of 70407

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

1, 3, 9, 7823, 23469

Step-4: Factors of 70422

List of positive integer factors of 70422 that divides 70407 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 97, 121, 194, 242, 291, 363, 582, 726, 1067, 2134, 3201, 6402, 11737, 23474, 35211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70407 and 70422. The biggest common factor number is the GCF number.
So the greatest common factor 70407 and 70422 is 3.

Also check out the Least Common Multiple of 70407 and 70422