What is the Greatest Common Factor of 35416 and 35422?

Greatest common factor (GCF) of 35416 and 35422 is 2.

GCF(35416,35422) = 2

We will now calculate the prime factors of 35416 and 35422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35416 and 35422.

How to find the GCF of 35416 and 35422?

We will first find the prime factorization of 35416 and 35422. After we will calculate the factors of 35416 and 35422 and find the biggest common factor number .

Step-1: Prime Factorization of 35416

Prime factors of 35416 are 2, 19, 233. Prime factorization of 35416 in exponential form is:

35416 = 2³ × 19¹ × 233¹

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 35416

List of positive integer factors of 35416 that divides 35416 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 233, 466, 932, 1864, 4427, 8854, 17708

Step-4: Factors of 35422

List of positive integer factors of 35422 that divides 35416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35416 and 35422. The biggest common factor number is the GCF number.
So the greatest common factor 35416 and 35422 is 2.

Also check out the Least Common Multiple of 35416 and 35422