What is the Greatest Common Factor of 92416 and 92422?

Greatest common factor (GCF) of 92416 and 92422 is 2.

GCF(92416,92422) = 2

We will now calculate the prime factors of 92416 and 92422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92416 and 92422.

How to find the GCF of 92416 and 92422?

We will first find the prime factorization of 92416 and 92422. After we will calculate the factors of 92416 and 92422 and find the biggest common factor number .

Step-1: Prime Factorization of 92416

Prime factors of 92416 are 2, 19. Prime factorization of 92416 in exponential form is:

92416 = 2⁸ × 19²

Step-2: Prime Factorization of 92422

Prime factors of 92422 are 2, 11, 4201. Prime factorization of 92422 in exponential form is:

92422 = 2¹ × 11¹ × 4201¹

Step-3: Factors of 92416

List of positive integer factors of 92416 that divides 92416 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 361, 608, 722, 1216, 1444, 2432, 2888, 4864, 5776, 11552, 23104, 46208

Step-4: Factors of 92422

List of positive integer factors of 92422 that divides 92416 without a remainder.

1, 2, 11, 22, 4201, 8402, 46211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92416 and 92422. The biggest common factor number is the GCF number.
So the greatest common factor 92416 and 92422 is 2.

Also check out the Least Common Multiple of 92416 and 92422