What is the Greatest Common Factor of 65664 and 65673?

Greatest common factor (GCF) of 65664 and 65673 is 9.

GCF(65664,65673) = 9

We will now calculate the prime factors of 65664 and 65673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65664 and 65673.

How to find the GCF of 65664 and 65673?

We will first find the prime factorization of 65664 and 65673. After we will calculate the factors of 65664 and 65673 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 65673

Prime factors of 65673 are 3, 7297. Prime factorization of 65673 in exponential form is:

65673 = 3² × 7297¹

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 65673

List of positive integer factors of 65673 that divides 65664 without a remainder.

1, 3, 9, 7297, 21891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65664 and 65673. The biggest common factor number is the GCF number.
So the greatest common factor 65664 and 65673 is 9.

Also check out the Least Common Multiple of 65664 and 65673