What is the Greatest Common Factor of 63584 and 63604?

Greatest common factor (GCF) of 63584 and 63604 is 4.

GCF(63584,63604) = 4

We will now calculate the prime factors of 63584 and 63604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63584 and 63604.

How to find the GCF of 63584 and 63604?

We will first find the prime factorization of 63584 and 63604. After we will calculate the factors of 63584 and 63604 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 63604

Prime factors of 63604 are 2, 15901. Prime factorization of 63604 in exponential form is:

63604 = 2² × 15901¹

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 63604

List of positive integer factors of 63604 that divides 63584 without a remainder.

1, 2, 4, 15901, 31802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63584 and 63604. The biggest common factor number is the GCF number.
So the greatest common factor 63584 and 63604 is 4.

Also check out the Least Common Multiple of 63584 and 63604