What is the Greatest Common Factor of 64764 and 64768?

Greatest common factor (GCF) of 64764 and 64768 is 4.

GCF(64764,64768) = 4

We will now calculate the prime factors of 64764 and 64768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64764 and 64768.

How to find the GCF of 64764 and 64768?

We will first find the prime factorization of 64764 and 64768. After we will calculate the factors of 64764 and 64768 and find the biggest common factor number .

Step-1: Prime Factorization of 64764

Prime factors of 64764 are 2, 3, 7, 257. Prime factorization of 64764 in exponential form is:

64764 = 2² × 3² × 7¹ × 257¹

Step-2: 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-3: Factors of 64764

List of positive integer factors of 64764 that divides 64764 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 257, 514, 771, 1028, 1542, 1799, 2313, 3084, 3598, 4626, 5397, 7196, 9252, 10794, 16191, 21588, 32382

Step-4: Factors of 64768

List of positive integer factors of 64768 that divides 64764 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64764 and 64768. The biggest common factor number is the GCF number.
So the greatest common factor 64764 and 64768 is 4.

Also check out the Least Common Multiple of 64764 and 64768