What is the Greatest Common Factor of 64647 and 64662?

Greatest common factor (GCF) of 64647 and 64662 is 3.

GCF(64647,64662) = 3

We will now calculate the prime factors of 64647 and 64662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64647 and 64662.

How to find the GCF of 64647 and 64662?

We will first find the prime factorization of 64647 and 64662. After we will calculate the factors of 64647 and 64662 and find the biggest common factor number .

Step-1: Prime Factorization of 64647

Prime factors of 64647 are 3, 11, 653. Prime factorization of 64647 in exponential form is:

64647 = 3² × 11¹ × 653¹

Step-2: Prime Factorization of 64662

Prime factors of 64662 are 2, 3, 13, 829. Prime factorization of 64662 in exponential form is:

64662 = 2¹ × 3¹ × 13¹ × 829¹

Step-3: Factors of 64647

List of positive integer factors of 64647 that divides 64647 without a remainder.

1, 3, 9, 11, 33, 99, 653, 1959, 5877, 7183, 21549

Step-4: Factors of 64662

List of positive integer factors of 64662 that divides 64647 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 829, 1658, 2487, 4974, 10777, 21554, 32331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64647 and 64662. The biggest common factor number is the GCF number.
So the greatest common factor 64647 and 64662 is 3.

Also check out the Least Common Multiple of 64647 and 64662