What is the Greatest Common Factor of 63993 and 64008?

Greatest common factor (GCF) of 63993 and 64008 is 3.

GCF(63993,64008) = 3

We will now calculate the prime factors of 63993 and 64008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63993 and 64008.

How to find the GCF of 63993 and 64008?

We will first find the prime factorization of 63993 and 64008. After we will calculate the factors of 63993 and 64008 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 64008

Prime factors of 64008 are 2, 3, 7, 127. Prime factorization of 64008 in exponential form is:

64008 = 2³ × 3² × 7¹ × 127¹

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 64008

List of positive integer factors of 64008 that divides 63993 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 127, 168, 252, 254, 381, 504, 508, 762, 889, 1016, 1143, 1524, 1778, 2286, 2667, 3048, 3556, 4572, 5334, 7112, 8001, 9144, 10668, 16002, 21336, 32004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63993 and 64008. The biggest common factor number is the GCF number.
So the greatest common factor 63993 and 64008 is 3.

Also check out the Least Common Multiple of 63993 and 64008