What is the Greatest Common Factor of 65664 and 65677?

Greatest common factor (GCF) of 65664 and 65677 is 1.

GCF(65664,65677) = 1

We will now calculate the prime factors of 65664 and 65677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65664 and 65677.

How to find the GCF of 65664 and 65677?

We will first find the prime factorization of 65664 and 65677. After we will calculate the factors of 65664 and 65677 and find the biggest common factor number .

Step-1: Prime Factorization of 65664

Prime factors of 65664 are 2, 3, 19. Prime factorization of 65664 in exponential form is:

65664 = 2⁷ × 3³ × 19¹

Step-2: Prime Factorization of 65677

Prime factors of 65677 are 65677. Prime factorization of 65677 in exponential form is:

65677 = 65677¹

Step-3: Factors of 65664

List of positive integer factors of 65664 that divides 65664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 64, 72, 76, 96, 108, 114, 128, 144, 152, 171, 192, 216, 228, 288, 304, 342, 384, 432, 456, 513, 576, 608, 684, 864, 912, 1026, 1152, 1216, 1368, 1728, 1824, 2052, 2432, 2736, 3456, 3648, 4104, 5472, 7296, 8208, 10944, 16416, 21888, 32832

Step-4: Factors of 65677

List of positive integer factors of 65677 that divides 65664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65664 and 65677. The biggest common factor number is the GCF number.
So the greatest common factor 65664 and 65677 is 1.

Also check out the Least Common Multiple of 65664 and 65677