What is the Greatest Common Factor of 63628 and 63648?

Greatest common factor (GCF) of 63628 and 63648 is 4.

GCF(63628,63648) = 4

We will now calculate the prime factors of 63628 and 63648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63628 and 63648.

How to find the GCF of 63628 and 63648?

We will first find the prime factorization of 63628 and 63648. After we will calculate the factors of 63628 and 63648 and find the biggest common factor number .

Step-1: Prime Factorization of 63628

Prime factors of 63628 are 2, 15907. Prime factorization of 63628 in exponential form is:

63628 = 2² × 15907¹

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 63628

List of positive integer factors of 63628 that divides 63628 without a remainder.

1, 2, 4, 15907, 31814

Step-4: Factors of 63648

List of positive integer factors of 63648 that divides 63628 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 63628 and 63648. The biggest common factor number is the GCF number.
So the greatest common factor 63628 and 63648 is 4.

Also check out the Least Common Multiple of 63628 and 63648