What is the Greatest Common Factor of 63993 and 64005?

Greatest common factor (GCF) of 63993 and 64005 is 3.

GCF(63993,64005) = 3

We will now calculate the prime factors of 63993 and 64005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63993 and 64005.

How to find the GCF of 63993 and 64005?

We will first find the prime factorization of 63993 and 64005. After we will calculate the factors of 63993 and 64005 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 64005

Prime factors of 64005 are 3, 5, 17, 251. Prime factorization of 64005 in exponential form is:

64005 = 3¹ × 5¹ × 17¹ × 251¹

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 64005

List of positive integer factors of 64005 that divides 63993 without a remainder.

1, 3, 5, 15, 17, 51, 85, 251, 255, 753, 1255, 3765, 4267, 12801, 21335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63993 and 64005. The biggest common factor number is the GCF number.
So the greatest common factor 63993 and 64005 is 3.

Also check out the Least Common Multiple of 63993 and 64005