What is the Greatest Common Factor of 63921 and 63939?

Greatest common factor (GCF) of 63921 and 63939 is 3.

GCF(63921,63939) = 3

We will now calculate the prime factors of 63921 and 63939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63921 and 63939.

How to find the GCF of 63921 and 63939?

We will first find the prime factorization of 63921 and 63939. After we will calculate the factors of 63921 and 63939 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 63939

Prime factors of 63939 are 3, 21313. Prime factorization of 63939 in exponential form is:

63939 = 3¹ × 21313¹

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 63939

List of positive integer factors of 63939 that divides 63921 without a remainder.

1, 3, 21313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63921 and 63939. The biggest common factor number is the GCF number.
So the greatest common factor 63921 and 63939 is 3.

Also check out the Least Common Multiple of 63921 and 63939