What is the Greatest Common Factor of 63808 and 63824?

Greatest common factor (GCF) of 63808 and 63824 is 16.

GCF(63808,63824) = 16

We will now calculate the prime factors of 63808 and 63824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63808 and 63824.

How to find the GCF of 63808 and 63824?

We will first find the prime factorization of 63808 and 63824. After we will calculate the factors of 63808 and 63824 and find the biggest common factor number .

Step-1: Prime Factorization of 63808

Prime factors of 63808 are 2, 997. Prime factorization of 63808 in exponential form is:

63808 = 2⁶ × 997¹

Step-2: Prime Factorization of 63824

Prime factors of 63824 are 2, 3989. Prime factorization of 63824 in exponential form is:

63824 = 2⁴ × 3989¹

Step-3: Factors of 63808

List of positive integer factors of 63808 that divides 63808 without a remainder.

1, 2, 4, 8, 16, 32, 64, 997, 1994, 3988, 7976, 15952, 31904

Step-4: Factors of 63824

List of positive integer factors of 63824 that divides 63808 without a remainder.

1, 2, 4, 8, 16, 3989, 7978, 15956, 31912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63808 and 63824. The biggest common factor number is the GCF number.
So the greatest common factor 63808 and 63824 is 16.

Also check out the Least Common Multiple of 63808 and 63824