What is the Greatest Common Factor of 92768 and 92784?

Greatest common factor (GCF) of 92768 and 92784 is 16.

GCF(92768,92784) = 16

We will now calculate the prime factors of 92768 and 92784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92768 and 92784.

How to find the GCF of 92768 and 92784?

We will first find the prime factorization of 92768 and 92784. After we will calculate the factors of 92768 and 92784 and find the biggest common factor number .

Step-1: Prime Factorization of 92768

Prime factors of 92768 are 2, 13, 223. Prime factorization of 92768 in exponential form is:

92768 = 2⁵ × 13¹ × 223¹

Step-2: Prime Factorization of 92784

Prime factors of 92784 are 2, 3, 1933. Prime factorization of 92784 in exponential form is:

92784 = 2⁴ × 3¹ × 1933¹

Step-3: Factors of 92768

List of positive integer factors of 92768 that divides 92768 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 223, 416, 446, 892, 1784, 2899, 3568, 5798, 7136, 11596, 23192, 46384

Step-4: Factors of 92784

List of positive integer factors of 92784 that divides 92768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1933, 3866, 5799, 7732, 11598, 15464, 23196, 30928, 46392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92768 and 92784. The biggest common factor number is the GCF number.
So the greatest common factor 92768 and 92784 is 16.

Also check out the Least Common Multiple of 92768 and 92784