What is the Greatest Common Factor of 92416 and 92432?

Greatest common factor (GCF) of 92416 and 92432 is 16.

GCF(92416,92432) = 16

We will now calculate the prime factors of 92416 and 92432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92416 and 92432.

How to find the GCF of 92416 and 92432?

We will first find the prime factorization of 92416 and 92432. After we will calculate the factors of 92416 and 92432 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 92432

Prime factors of 92432 are 2, 53, 109. Prime factorization of 92432 in exponential form is:

92432 = 2⁴ × 53¹ × 109¹

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 92432

List of positive integer factors of 92432 that divides 92416 without a remainder.

1, 2, 4, 8, 16, 53, 106, 109, 212, 218, 424, 436, 848, 872, 1744, 5777, 11554, 23108, 46216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92416 and 92432. The biggest common factor number is the GCF number.
So the greatest common factor 92416 and 92432 is 16.

Also check out the Least Common Multiple of 92416 and 92432