What is the Greatest Common Factor of 63998 and 64018?

Greatest common factor (GCF) of 63998 and 64018 is 2.

GCF(63998,64018) = 2

We will now calculate the prime factors of 63998 and 64018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63998 and 64018.

How to find the GCF of 63998 and 64018?

We will first find the prime factorization of 63998 and 64018. After we will calculate the factors of 63998 and 64018 and find the biggest common factor number .

Step-1: Prime Factorization of 63998

Prime factors of 63998 are 2, 11, 2909. Prime factorization of 63998 in exponential form is:

63998 = 2¹ × 11¹ × 2909¹

Step-2: Prime Factorization of 64018

Prime factors of 64018 are 2, 32009. Prime factorization of 64018 in exponential form is:

64018 = 2¹ × 32009¹

Step-3: Factors of 63998

List of positive integer factors of 63998 that divides 63998 without a remainder.

1, 2, 11, 22, 2909, 5818, 31999

Step-4: Factors of 64018

List of positive integer factors of 64018 that divides 63998 without a remainder.

1, 2, 32009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63998 and 64018. The biggest common factor number is the GCF number.
So the greatest common factor 63998 and 64018 is 2.

Also check out the Least Common Multiple of 63998 and 64018