What is the Greatest Common Factor of 63817 and 63830?

Greatest common factor (GCF) of 63817 and 63830 is 13.

GCF(63817,63830) = 13

We will now calculate the prime factors of 63817 and 63830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63817 and 63830.

How to find the GCF of 63817 and 63830?

We will first find the prime factorization of 63817 and 63830. After we will calculate the factors of 63817 and 63830 and find the biggest common factor number .

Step-1: Prime Factorization of 63817

Prime factors of 63817 are 13, 4909. Prime factorization of 63817 in exponential form is:

63817 = 13¹ × 4909¹

Step-2: Prime Factorization of 63830

Prime factors of 63830 are 2, 5, 13, 491. Prime factorization of 63830 in exponential form is:

63830 = 2¹ × 5¹ × 13¹ × 491¹

Step-3: Factors of 63817

List of positive integer factors of 63817 that divides 63817 without a remainder.

1, 13, 4909

Step-4: Factors of 63830

List of positive integer factors of 63830 that divides 63817 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 491, 982, 2455, 4910, 6383, 12766, 31915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63817 and 63830. The biggest common factor number is the GCF number.
So the greatest common factor 63817 and 63830 is 13.

Also check out the Least Common Multiple of 63817 and 63830