What is the Greatest Common Factor of 63814 and 63820?

Greatest common factor (GCF) of 63814 and 63820 is 2.

GCF(63814,63820) = 2

We will now calculate the prime factors of 63814 and 63820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63814 and 63820.

How to find the GCF of 63814 and 63820?

We will first find the prime factorization of 63814 and 63820. After we will calculate the factors of 63814 and 63820 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 63820

Prime factors of 63820 are 2, 5, 3191. Prime factorization of 63820 in exponential form is:

63820 = 2² × 5¹ × 3191¹

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 63820

List of positive integer factors of 63820 that divides 63814 without a remainder.

1, 2, 4, 5, 10, 20, 3191, 6382, 12764, 15955, 31910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63814 and 63820. The biggest common factor number is the GCF number.
So the greatest common factor 63814 and 63820 is 2.

Also check out the Least Common Multiple of 63814 and 63820