What is the Greatest Common Factor of 64548 and 64559?

Greatest common factor (GCF) of 64548 and 64559 is 11.

GCF(64548,64559) = 11

We will now calculate the prime factors of 64548 and 64559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64548 and 64559.

How to find the GCF of 64548 and 64559?

We will first find the prime factorization of 64548 and 64559. After we will calculate the factors of 64548 and 64559 and find the biggest common factor number .

Step-1: Prime Factorization of 64548

Prime factors of 64548 are 2, 3, 11, 163. Prime factorization of 64548 in exponential form is:

64548 = 2² × 3² × 11¹ × 163¹

Step-2: Prime Factorization of 64559

Prime factors of 64559 are 11, 5869. Prime factorization of 64559 in exponential form is:

64559 = 11¹ × 5869¹

Step-3: Factors of 64548

List of positive integer factors of 64548 that divides 64548 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 163, 198, 326, 396, 489, 652, 978, 1467, 1793, 1956, 2934, 3586, 5379, 5868, 7172, 10758, 16137, 21516, 32274

Step-4: Factors of 64559

List of positive integer factors of 64559 that divides 64548 without a remainder.

1, 11, 5869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64548 and 64559. The biggest common factor number is the GCF number.
So the greatest common factor 64548 and 64559 is 11.

Also check out the Least Common Multiple of 64548 and 64559