What is the Greatest Common Factor of 64764 and 64773?

Greatest common factor (GCF) of 64764 and 64773 is 9.

GCF(64764,64773) = 9

We will now calculate the prime factors of 64764 and 64773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64764 and 64773.

How to find the GCF of 64764 and 64773?

We will first find the prime factorization of 64764 and 64773. After we will calculate the factors of 64764 and 64773 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 64773

Prime factors of 64773 are 3, 2399. Prime factorization of 64773 in exponential form is:

64773 = 3³ × 2399¹

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 64773

List of positive integer factors of 64773 that divides 64764 without a remainder.

1, 3, 9, 27, 2399, 7197, 21591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64764 and 64773. The biggest common factor number is the GCF number.
So the greatest common factor 64764 and 64773 is 9.

Also check out the Least Common Multiple of 64764 and 64773