What is the Greatest Common Factor of 63993 and 63999?

Greatest common factor (GCF) of 63993 and 63999 is 3.

GCF(63993,63999) = 3

We will now calculate the prime factors of 63993 and 63999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63993 and 63999.

How to find the GCF of 63993 and 63999?

We will first find the prime factorization of 63993 and 63999. After we will calculate the factors of 63993 and 63999 and find the biggest common factor number .

Step-1: Prime Factorization of 63993

Prime factors of 63993 are 3, 83, 257. Prime factorization of 63993 in exponential form is:

63993 = 3¹ × 83¹ × 257¹

Step-2: Prime Factorization of 63999

Prime factors of 63999 are 3, 13, 547. Prime factorization of 63999 in exponential form is:

63999 = 3² × 13¹ × 547¹

Step-3: Factors of 63993

List of positive integer factors of 63993 that divides 63993 without a remainder.

1, 3, 83, 249, 257, 771, 21331

Step-4: Factors of 63999

List of positive integer factors of 63999 that divides 63993 without a remainder.

1, 3, 9, 13, 39, 117, 547, 1641, 4923, 7111, 21333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63993 and 63999. The biggest common factor number is the GCF number.
So the greatest common factor 63993 and 63999 is 3.

Also check out the Least Common Multiple of 63993 and 63999