What is the Greatest Common Factor of 63804 and 63821?

Greatest common factor (GCF) of 63804 and 63821 is 1.

GCF(63804,63821) = 1

We will now calculate the prime factors of 63804 and 63821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63804 and 63821.

How to find the GCF of 63804 and 63821?

We will first find the prime factorization of 63804 and 63821. After we will calculate the factors of 63804 and 63821 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 63821

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

63821 = 19¹ × 3359¹

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 63821

List of positive integer factors of 63821 that divides 63804 without a remainder.

1, 19, 3359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63804 and 63821. The biggest common factor number is the GCF number.
So the greatest common factor 63804 and 63821 is 1.

Also check out the Least Common Multiple of 63804 and 63821