What is the Greatest Common Factor of 63631 and 63648?

Greatest common factor (GCF) of 63631 and 63648 is 17.

GCF(63631,63648) = 17

We will now calculate the prime factors of 63631 and 63648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63631 and 63648.

How to find the GCF of 63631 and 63648?

We will first find the prime factorization of 63631 and 63648. After we will calculate the factors of 63631 and 63648 and find the biggest common factor number .

Step-1: Prime Factorization of 63631

Prime factors of 63631 are 17, 19, 197. Prime factorization of 63631 in exponential form is:

63631 = 17¹ × 19¹ × 197¹

Step-2: 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-3: Factors of 63631

List of positive integer factors of 63631 that divides 63631 without a remainder.

1, 17, 19, 197, 323, 3349, 3743

Step-4: Factors of 63648

List of positive integer factors of 63648 that divides 63631 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63631 and 63648. The biggest common factor number is the GCF number.
So the greatest common factor 63631 and 63648 is 17.

Also check out the Least Common Multiple of 63631 and 63648