What is the Greatest Common Factor of 94768 and 94784?

Greatest common factor (GCF) of 94768 and 94784 is 16.

GCF(94768,94784) = 16

We will now calculate the prime factors of 94768 and 94784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94768 and 94784.

How to find the GCF of 94768 and 94784?

We will first find the prime factorization of 94768 and 94784. After we will calculate the factors of 94768 and 94784 and find the biggest common factor number .

Step-1: Prime Factorization of 94768

Prime factors of 94768 are 2, 5923. Prime factorization of 94768 in exponential form is:

94768 = 2⁴ × 5923¹

Step-2: Prime Factorization of 94784

Prime factors of 94784 are 2, 1481. Prime factorization of 94784 in exponential form is:

94784 = 2⁶ × 1481¹

Step-3: Factors of 94768

List of positive integer factors of 94768 that divides 94768 without a remainder.

1, 2, 4, 8, 16, 5923, 11846, 23692, 47384

Step-4: Factors of 94784

List of positive integer factors of 94784 that divides 94768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1481, 2962, 5924, 11848, 23696, 47392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94768 and 94784. The biggest common factor number is the GCF number.
So the greatest common factor 94768 and 94784 is 16.

Also check out the Least Common Multiple of 94768 and 94784