What is the Greatest Common Factor of 63663 and 63681?

Greatest common factor (GCF) of 63663 and 63681 is 3.

GCF(63663,63681) = 3

We will now calculate the prime factors of 63663 and 63681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63663 and 63681.

How to find the GCF of 63663 and 63681?

We will first find the prime factorization of 63663 and 63681. After we will calculate the factors of 63663 and 63681 and find the biggest common factor number .

Step-1: Prime Factorization of 63663

Prime factors of 63663 are 3, 21221. Prime factorization of 63663 in exponential form is:

63663 = 3¹ × 21221¹

Step-2: Prime Factorization of 63681

Prime factors of 63681 are 3, 21227. Prime factorization of 63681 in exponential form is:

63681 = 3¹ × 21227¹

Step-3: Factors of 63663

List of positive integer factors of 63663 that divides 63663 without a remainder.

1, 3, 21221

Step-4: Factors of 63681

List of positive integer factors of 63681 that divides 63663 without a remainder.

1, 3, 21227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63663 and 63681. The biggest common factor number is the GCF number.
So the greatest common factor 63663 and 63681 is 3.

Also check out the Least Common Multiple of 63663 and 63681