What is the Greatest Common Factor of 63821 and 63830?

Greatest common factor (GCF) of 63821 and 63830 is 1.

GCF(63821,63830) = 1

We will now calculate the prime factors of 63821 and 63830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63821 and 63830.

How to find the GCF of 63821 and 63830?

We will first find the prime factorization of 63821 and 63830. After we will calculate the factors of 63821 and 63830 and find the biggest common factor number .

Step-1: Prime Factorization of 63821

Prime factors of 63821 are 19, 3359. Prime factorization of 63821 in exponential form is:

63821 = 19¹ × 3359¹

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 63821

List of positive integer factors of 63821 that divides 63821 without a remainder.

1, 19, 3359

Step-4: Factors of 63830

List of positive integer factors of 63830 that divides 63821 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 63821 and 63830. The biggest common factor number is the GCF number.
So the greatest common factor 63821 and 63830 is 1.

Also check out the Least Common Multiple of 63821 and 63830