What is the Greatest Common Factor of 63813 and 63819?

Greatest common factor (GCF) of 63813 and 63819 is 3.

GCF(63813,63819) = 3

We will now calculate the prime factors of 63813 and 63819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63813 and 63819.

How to find the GCF of 63813 and 63819?

We will first find the prime factorization of 63813 and 63819. After we will calculate the factors of 63813 and 63819 and find the biggest common factor number .

Step-1: Prime Factorization of 63813

Prime factors of 63813 are 3, 89, 239. Prime factorization of 63813 in exponential form is:

63813 = 3¹ × 89¹ × 239¹

Step-2: Prime Factorization of 63819

Prime factors of 63819 are 3, 7, 1013. Prime factorization of 63819 in exponential form is:

63819 = 3² × 7¹ × 1013¹

Step-3: Factors of 63813

List of positive integer factors of 63813 that divides 63813 without a remainder.

1, 3, 89, 239, 267, 717, 21271

Step-4: Factors of 63819

List of positive integer factors of 63819 that divides 63813 without a remainder.

1, 3, 7, 9, 21, 63, 1013, 3039, 7091, 9117, 21273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63813 and 63819. The biggest common factor number is the GCF number.
So the greatest common factor 63813 and 63819 is 3.

Also check out the Least Common Multiple of 63813 and 63819