What is the Greatest Common Factor of 64533 and 64548?

Greatest common factor (GCF) of 64533 and 64548 is 3.

GCF(64533,64548) = 3

We will now calculate the prime factors of 64533 and 64548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64533 and 64548.

How to find the GCF of 64533 and 64548?

We will first find the prime factorization of 64533 and 64548. After we will calculate the factors of 64533 and 64548 and find the biggest common factor number .

Step-1: Prime Factorization of 64533

Prime factors of 64533 are 3, 7, 439. Prime factorization of 64533 in exponential form is:

64533 = 3¹ × 7² × 439¹

Step-2: 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-3: Factors of 64533

List of positive integer factors of 64533 that divides 64533 without a remainder.

1, 3, 7, 21, 49, 147, 439, 1317, 3073, 9219, 21511

Step-4: Factors of 64548

List of positive integer factors of 64548 that divides 64533 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64533 and 64548. The biggest common factor number is the GCF number.
So the greatest common factor 64533 and 64548 is 3.

Also check out the Least Common Multiple of 64533 and 64548