What is the Greatest Common Factor of 64768 and 64784?

Greatest common factor (GCF) of 64768 and 64784 is 16.

GCF(64768,64784) = 16

We will now calculate the prime factors of 64768 and 64784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64768 and 64784.

How to find the GCF of 64768 and 64784?

We will first find the prime factorization of 64768 and 64784. After we will calculate the factors of 64768 and 64784 and find the biggest common factor number .

Step-1: Prime Factorization of 64768

Prime factors of 64768 are 2, 11, 23. Prime factorization of 64768 in exponential form is:

64768 = 2⁸ × 11¹ × 23¹

Step-2: Prime Factorization of 64784

Prime factors of 64784 are 2, 4049. Prime factorization of 64784 in exponential form is:

64784 = 2⁴ × 4049¹

Step-3: Factors of 64768

List of positive integer factors of 64768 that divides 64768 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 64, 88, 92, 128, 176, 184, 253, 256, 352, 368, 506, 704, 736, 1012, 1408, 1472, 2024, 2816, 2944, 4048, 5888, 8096, 16192, 32384

Step-4: Factors of 64784

List of positive integer factors of 64784 that divides 64768 without a remainder.

1, 2, 4, 8, 16, 4049, 8098, 16196, 32392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64768 and 64784. The biggest common factor number is the GCF number.
So the greatest common factor 64768 and 64784 is 16.

Also check out the Least Common Multiple of 64768 and 64784