What is the Greatest Common Factor of 63584 and 63600?

Greatest common factor (GCF) of 63584 and 63600 is 16.

GCF(63584,63600) = 16

We will now calculate the prime factors of 63584 and 63600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63584 and 63600.

How to find the GCF of 63584 and 63600?

We will first find the prime factorization of 63584 and 63600. After we will calculate the factors of 63584 and 63600 and find the biggest common factor number .

Step-1: Prime Factorization of 63584

Prime factors of 63584 are 2, 1987. Prime factorization of 63584 in exponential form is:

63584 = 2⁵ × 1987¹

Step-2: Prime Factorization of 63600

Prime factors of 63600 are 2, 3, 5, 53. Prime factorization of 63600 in exponential form is:

63600 = 2⁴ × 3¹ × 5² × 53¹

Step-3: Factors of 63584

List of positive integer factors of 63584 that divides 63584 without a remainder.

1, 2, 4, 8, 16, 32, 1987, 3974, 7948, 15896, 31792

Step-4: Factors of 63600

List of positive integer factors of 63600 that divides 63584 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 53, 60, 75, 80, 100, 106, 120, 150, 159, 200, 212, 240, 265, 300, 318, 400, 424, 530, 600, 636, 795, 848, 1060, 1200, 1272, 1325, 1590, 2120, 2544, 2650, 3180, 3975, 4240, 5300, 6360, 7950, 10600, 12720, 15900, 21200, 31800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63584 and 63600. The biggest common factor number is the GCF number.
So the greatest common factor 63584 and 63600 is 16.

Also check out the Least Common Multiple of 63584 and 63600