What is the Greatest Common Factor of 63981 and 63990?

Greatest common factor (GCF) of 63981 and 63990 is 9.

GCF(63981,63990) = 9

We will now calculate the prime factors of 63981 and 63990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63981 and 63990.

How to find the GCF of 63981 and 63990?

We will first find the prime factorization of 63981 and 63990. After we will calculate the factors of 63981 and 63990 and find the biggest common factor number .

Step-1: Prime Factorization of 63981

Prime factors of 63981 are 3, 7109. Prime factorization of 63981 in exponential form is:

63981 = 3² × 7109¹

Step-2: Prime Factorization of 63990

Prime factors of 63990 are 2, 3, 5, 79. Prime factorization of 63990 in exponential form is:

63990 = 2¹ × 3⁴ × 5¹ × 79¹

Step-3: Factors of 63981

List of positive integer factors of 63981 that divides 63981 without a remainder.

1, 3, 9, 7109, 21327

Step-4: Factors of 63990

List of positive integer factors of 63990 that divides 63981 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 79, 81, 90, 135, 158, 162, 237, 270, 395, 405, 474, 711, 790, 810, 1185, 1422, 2133, 2370, 3555, 4266, 6399, 7110, 10665, 12798, 21330, 31995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63981 and 63990. The biggest common factor number is the GCF number.
So the greatest common factor 63981 and 63990 is 9.

Also check out the Least Common Multiple of 63981 and 63990