What is the Greatest Common Factor of 64768 and 64774?

Greatest common factor (GCF) of 64768 and 64774 is 2.

GCF(64768,64774) = 2

We will now calculate the prime factors of 64768 and 64774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64768 and 64774.

How to find the GCF of 64768 and 64774?

We will first find the prime factorization of 64768 and 64774. After we will calculate the factors of 64768 and 64774 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 64774

Prime factors of 64774 are 2, 139, 233. Prime factorization of 64774 in exponential form is:

64774 = 2¹ × 139¹ × 233¹

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 64774

List of positive integer factors of 64774 that divides 64768 without a remainder.

1, 2, 139, 233, 278, 466, 32387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64768 and 64774. The biggest common factor number is the GCF number.
So the greatest common factor 64768 and 64774 is 2.

Also check out the Least Common Multiple of 64768 and 64774