What is the Greatest Common Factor of 63648 and 63657?

Greatest common factor (GCF) of 63648 and 63657 is 9.

GCF(63648,63657) = 9

We will now calculate the prime factors of 63648 and 63657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63648 and 63657.

How to find the GCF of 63648 and 63657?

We will first find the prime factorization of 63648 and 63657. After we will calculate the factors of 63648 and 63657 and find the biggest common factor number .

Step-1: Prime Factorization of 63648

Prime factors of 63648 are 2, 3, 13, 17. Prime factorization of 63648 in exponential form is:

63648 = 2⁵ × 3² × 13¹ × 17¹

Step-2: Prime Factorization of 63657

Prime factors of 63657 are 3, 11, 643. Prime factorization of 63657 in exponential form is:

63657 = 3² × 11¹ × 643¹

Step-3: Factors of 63648

List of positive integer factors of 63648 that divides 63648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 17, 18, 24, 26, 32, 34, 36, 39, 48, 51, 52, 68, 72, 78, 96, 102, 104, 117, 136, 144, 153, 156, 204, 208, 221, 234, 272, 288, 306, 312, 408, 416, 442, 468, 544, 612, 624, 663, 816, 884, 936, 1224, 1248, 1326, 1632, 1768, 1872, 1989, 2448, 2652, 3536, 3744, 3978, 4896, 5304, 7072, 7956, 10608, 15912, 21216, 31824

Step-4: Factors of 63657

List of positive integer factors of 63657 that divides 63648 without a remainder.

1, 3, 9, 11, 33, 99, 643, 1929, 5787, 7073, 21219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63648 and 63657. The biggest common factor number is the GCF number.
So the greatest common factor 63648 and 63657 is 9.

Also check out the Least Common Multiple of 63648 and 63657