What is the Greatest Common Factor of 35404 and 35422?

Greatest common factor (GCF) of 35404 and 35422 is 2.

GCF(35404,35422) = 2

We will now calculate the prime factors of 35404 and 35422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35404 and 35422.

How to find the GCF of 35404 and 35422?

We will first find the prime factorization of 35404 and 35422. After we will calculate the factors of 35404 and 35422 and find the biggest common factor number .

Step-1: Prime Factorization of 35404

Prime factors of 35404 are 2, 53, 167. Prime factorization of 35404 in exponential form is:

35404 = 2² × 53¹ × 167¹

Step-2: Prime Factorization of 35422

Prime factors of 35422 are 2, 89, 199. Prime factorization of 35422 in exponential form is:

35422 = 2¹ × 89¹ × 199¹

Step-3: Factors of 35404

List of positive integer factors of 35404 that divides 35404 without a remainder.

1, 2, 4, 53, 106, 167, 212, 334, 668, 8851, 17702

Step-4: Factors of 35422

List of positive integer factors of 35422 that divides 35404 without a remainder.

1, 2, 89, 178, 199, 398, 17711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35404 and 35422. The biggest common factor number is the GCF number.
So the greatest common factor 35404 and 35422 is 2.

Also check out the Least Common Multiple of 35404 and 35422