What is the Greatest Common Factor of 63440 and 63444?

Greatest common factor (GCF) of 63440 and 63444 is 4.

GCF(63440,63444) = 4

We will now calculate the prime factors of 63440 and 63444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63440 and 63444.

How to find the GCF of 63440 and 63444?

We will first find the prime factorization of 63440 and 63444. After we will calculate the factors of 63440 and 63444 and find the biggest common factor number .

Step-1: Prime Factorization of 63440

Prime factors of 63440 are 2, 5, 13, 61. Prime factorization of 63440 in exponential form is:

63440 = 2⁴ × 5¹ × 13¹ × 61¹

Step-2: Prime Factorization of 63444

Prime factors of 63444 are 2, 3, 17, 311. Prime factorization of 63444 in exponential form is:

63444 = 2² × 3¹ × 17¹ × 311¹

Step-3: Factors of 63440

List of positive integer factors of 63440 that divides 63440 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 61, 65, 80, 104, 122, 130, 208, 244, 260, 305, 488, 520, 610, 793, 976, 1040, 1220, 1586, 2440, 3172, 3965, 4880, 6344, 7930, 12688, 15860, 31720

Step-4: Factors of 63444

List of positive integer factors of 63444 that divides 63440 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 311, 622, 933, 1244, 1866, 3732, 5287, 10574, 15861, 21148, 31722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63440 and 63444. The biggest common factor number is the GCF number.
So the greatest common factor 63440 and 63444 is 4.

Also check out the Least Common Multiple of 63440 and 63444