What is the Greatest Common Factor of 63998 and 64010?

Greatest common factor (GCF) of 63998 and 64010 is 2.

GCF(63998,64010) = 2

We will now calculate the prime factors of 63998 and 64010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63998 and 64010.

How to find the GCF of 63998 and 64010?

We will first find the prime factorization of 63998 and 64010. After we will calculate the factors of 63998 and 64010 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 64010

Prime factors of 64010 are 2, 5, 37, 173. Prime factorization of 64010 in exponential form is:

64010 = 2¹ × 5¹ × 37¹ × 173¹

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 64010

List of positive integer factors of 64010 that divides 63998 without a remainder.

1, 2, 5, 10, 37, 74, 173, 185, 346, 370, 865, 1730, 6401, 12802, 32005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63998 and 64010. The biggest common factor number is the GCF number.
So the greatest common factor 63998 and 64010 is 2.

Also check out the Least Common Multiple of 63998 and 64010