What is the Greatest Common Factor of 63824 and 63828?

Greatest common factor (GCF) of 63824 and 63828 is 4.

GCF(63824,63828) = 4

We will now calculate the prime factors of 63824 and 63828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63824 and 63828.

How to find the GCF of 63824 and 63828?

We will first find the prime factorization of 63824 and 63828. After we will calculate the factors of 63824 and 63828 and find the biggest common factor number .

Step-1: Prime Factorization of 63824

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

63824 = 2⁴ × 3989¹

Step-2: Prime Factorization of 63828

Prime factors of 63828 are 2, 3, 197. Prime factorization of 63828 in exponential form is:

63828 = 2² × 3⁴ × 197¹

Step-3: Factors of 63824

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

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

Step-4: Factors of 63828

List of positive integer factors of 63828 that divides 63824 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 197, 324, 394, 591, 788, 1182, 1773, 2364, 3546, 5319, 7092, 10638, 15957, 21276, 31914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63824 and 63828. The biggest common factor number is the GCF number.
So the greatest common factor 63824 and 63828 is 4.

Also check out the Least Common Multiple of 63824 and 63828