What is the Greatest Common Factor of 63921 and 63934?

Greatest common factor (GCF) of 63921 and 63934 is 13.

GCF(63921,63934) = 13

We will now calculate the prime factors of 63921 and 63934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63921 and 63934.

How to find the GCF of 63921 and 63934?

We will first find the prime factorization of 63921 and 63934. After we will calculate the factors of 63921 and 63934 and find the biggest common factor number .

Step-1: Prime Factorization of 63921

Prime factors of 63921 are 3, 11, 13, 149. Prime factorization of 63921 in exponential form is:

63921 = 3¹ × 11¹ × 13¹ × 149¹

Step-2: Prime Factorization of 63934

Prime factors of 63934 are 2, 13, 2459. Prime factorization of 63934 in exponential form is:

63934 = 2¹ × 13¹ × 2459¹

Step-3: Factors of 63921

List of positive integer factors of 63921 that divides 63921 without a remainder.

1, 3, 11, 13, 33, 39, 143, 149, 429, 447, 1639, 1937, 4917, 5811, 21307

Step-4: Factors of 63934

List of positive integer factors of 63934 that divides 63921 without a remainder.

1, 2, 13, 26, 2459, 4918, 31967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63921 and 63934. The biggest common factor number is the GCF number.
So the greatest common factor 63921 and 63934 is 13.

Also check out the Least Common Multiple of 63921 and 63934