What is the Greatest Common Factor of 70422 and 70433?

Greatest common factor (GCF) of 70422 and 70433 is 11.

GCF(70422,70433) = 11

We will now calculate the prime factors of 70422 and 70433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70422 and 70433.

How to find the GCF of 70422 and 70433?

We will first find the prime factorization of 70422 and 70433. After we will calculate the factors of 70422 and 70433 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70433

Prime factors of 70433 are 11, 19, 337. Prime factorization of 70433 in exponential form is:

70433 = 11¹ × 19¹ × 337¹

Step-3: Factors of 70422

List of positive integer factors of 70422 that divides 70422 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

Step-4: Factors of 70433

List of positive integer factors of 70433 that divides 70422 without a remainder.

1, 11, 19, 209, 337, 3707, 6403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70422 and 70433. The biggest common factor number is the GCF number.
So the greatest common factor 70422 and 70433 is 11.

Also check out the Least Common Multiple of 70422 and 70433