What is the Greatest Common Factor of 63934 and 63947?

Greatest common factor (GCF) of 63934 and 63947 is 13.

GCF(63934,63947) = 13

We will now calculate the prime factors of 63934 and 63947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63934 and 63947.

How to find the GCF of 63934 and 63947?

We will first find the prime factorization of 63934 and 63947. After we will calculate the factors of 63934 and 63947 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63947

Prime factors of 63947 are 13, 4919. Prime factorization of 63947 in exponential form is:

63947 = 13¹ × 4919¹

Step-3: Factors of 63934

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

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

Step-4: Factors of 63947

List of positive integer factors of 63947 that divides 63934 without a remainder.

1, 13, 4919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63934 and 63947. The biggest common factor number is the GCF number.
So the greatest common factor 63934 and 63947 is 13.

Also check out the Least Common Multiple of 63934 and 63947