What is the Greatest Common Factor of 64548 and 64557?

Greatest common factor (GCF) of 64548 and 64557 is 9.

GCF(64548,64557) = 9

We will now calculate the prime factors of 64548 and 64557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64548 and 64557.

How to find the GCF of 64548 and 64557?

We will first find the prime factorization of 64548 and 64557. After we will calculate the factors of 64548 and 64557 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 64557

Prime factors of 64557 are 3, 797. Prime factorization of 64557 in exponential form is:

64557 = 3⁴ × 797¹

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 64557

List of positive integer factors of 64557 that divides 64548 without a remainder.

1, 3, 9, 27, 81, 797, 2391, 7173, 21519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64548 and 64557. The biggest common factor number is the GCF number.
So the greatest common factor 64548 and 64557 is 9.

Also check out the Least Common Multiple of 64548 and 64557