What is the Greatest Common Factor of 63830 and 63842?

Greatest common factor (GCF) of 63830 and 63842 is 2.

GCF(63830,63842) = 2

We will now calculate the prime factors of 63830 and 63842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63830 and 63842.

How to find the GCF of 63830 and 63842?

We will first find the prime factorization of 63830 and 63842. After we will calculate the factors of 63830 and 63842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63842

Prime factors of 63842 are 2, 137, 233. Prime factorization of 63842 in exponential form is:

63842 = 2¹ × 137¹ × 233¹

Step-3: Factors of 63830

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

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

Step-4: Factors of 63842

List of positive integer factors of 63842 that divides 63830 without a remainder.

1, 2, 137, 233, 274, 466, 31921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63830 and 63842. The biggest common factor number is the GCF number.
So the greatest common factor 63830 and 63842 is 2.

Also check out the Least Common Multiple of 63830 and 63842