What is the Greatest Common Factor of 70409 and 70422?

Greatest common factor (GCF) of 70409 and 70422 is 1.

GCF(70409,70422) = 1

We will now calculate the prime factors of 70409 and 70422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70409 and 70422.

How to find the GCF of 70409 and 70422?

We will first find the prime factorization of 70409 and 70422. After we will calculate the factors of 70409 and 70422 and find the biggest common factor number .

Step-1: Prime Factorization of 70409

Prime factors of 70409 are 181, 389. Prime factorization of 70409 in exponential form is:

70409 = 181¹ × 389¹

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 70409

List of positive integer factors of 70409 that divides 70409 without a remainder.

1, 181, 389

Step-4: Factors of 70422

List of positive integer factors of 70422 that divides 70409 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 70409 and 70422. The biggest common factor number is the GCF number.
So the greatest common factor 70409 and 70422 is 1.

Also check out the Least Common Multiple of 70409 and 70422