What is the Greatest Common Factor of 63648 and 63665?

Greatest common factor (GCF) of 63648 and 63665 is 17.

GCF(63648,63665) = 17

We will now calculate the prime factors of 63648 and 63665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63648 and 63665.

How to find the GCF of 63648 and 63665?

We will first find the prime factorization of 63648 and 63665. After we will calculate the factors of 63648 and 63665 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 63665

Prime factors of 63665 are 5, 7, 17, 107. Prime factorization of 63665 in exponential form is:

63665 = 5¹ × 7¹ × 17¹ × 107¹

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 63665

List of positive integer factors of 63665 that divides 63648 without a remainder.

1, 5, 7, 17, 35, 85, 107, 119, 535, 595, 749, 1819, 3745, 9095, 12733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63648 and 63665. The biggest common factor number is the GCF number.
So the greatest common factor 63648 and 63665 is 17.

Also check out the Least Common Multiple of 63648 and 63665