What is the Greatest Common Factor of 63814 and 63830?

Greatest common factor (GCF) of 63814 and 63830 is 2.

GCF(63814,63830) = 2

We will now calculate the prime factors of 63814 and 63830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63814 and 63830.

How to find the GCF of 63814 and 63830?

We will first find the prime factorization of 63814 and 63830. After we will calculate the factors of 63814 and 63830 and find the biggest common factor number .

Step-1: Prime Factorization of 63814

Prime factors of 63814 are 2, 31907. Prime factorization of 63814 in exponential form is:

63814 = 2¹ × 31907¹

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 63814

List of positive integer factors of 63814 that divides 63814 without a remainder.

1, 2, 31907

Step-4: Factors of 63830

List of positive integer factors of 63830 that divides 63814 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 63814 and 63830. The biggest common factor number is the GCF number.
So the greatest common factor 63814 and 63830 is 2.

Also check out the Least Common Multiple of 63814 and 63830