What is the Greatest Common Factor of 63804 and 63814?

Greatest common factor (GCF) of 63804 and 63814 is 2.

GCF(63804,63814) = 2

We will now calculate the prime factors of 63804 and 63814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63804 and 63814.

How to find the GCF of 63804 and 63814?

We will first find the prime factorization of 63804 and 63814. After we will calculate the factors of 63804 and 63814 and find the biggest common factor number .

Step-1: Prime Factorization of 63804

Prime factors of 63804 are 2, 3, 13, 409. Prime factorization of 63804 in exponential form is:

63804 = 2² × 3¹ × 13¹ × 409¹

Step-2: Prime Factorization of 63814

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

63814 = 2¹ × 31907¹

Step-3: Factors of 63804

List of positive integer factors of 63804 that divides 63804 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 409, 818, 1227, 1636, 2454, 4908, 5317, 10634, 15951, 21268, 31902

Step-4: Factors of 63814

List of positive integer factors of 63814 that divides 63804 without a remainder.

1, 2, 31907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63804 and 63814. The biggest common factor number is the GCF number.
So the greatest common factor 63804 and 63814 is 2.

Also check out the Least Common Multiple of 63804 and 63814