What is the Greatest Common Factor of 63648 and 63662?

Greatest common factor (GCF) of 63648 and 63662 is 2.

GCF(63648,63662) = 2

We will now calculate the prime factors of 63648 and 63662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63648 and 63662.

How to find the GCF of 63648 and 63662?

We will first find the prime factorization of 63648 and 63662. After we will calculate the factors of 63648 and 63662 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 63662

Prime factors of 63662 are 2, 139, 229. Prime factorization of 63662 in exponential form is:

63662 = 2¹ × 139¹ × 229¹

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 63662

List of positive integer factors of 63662 that divides 63648 without a remainder.

1, 2, 139, 229, 278, 458, 31831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63648 and 63662. The biggest common factor number is the GCF number.
So the greatest common factor 63648 and 63662 is 2.

Also check out the Least Common Multiple of 63648 and 63662