What is the Greatest Common Factor of 63813 and 63827?

Greatest common factor (GCF) of 63813 and 63827 is 1.

GCF(63813,63827) = 1

We will now calculate the prime factors of 63813 and 63827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63813 and 63827.

How to find the GCF of 63813 and 63827?

We will first find the prime factorization of 63813 and 63827. After we will calculate the factors of 63813 and 63827 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 63827

Prime factors of 63827 are 83, 769. Prime factorization of 63827 in exponential form is:

63827 = 83¹ × 769¹

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 63827

List of positive integer factors of 63827 that divides 63813 without a remainder.

1, 83, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63813 and 63827. The biggest common factor number is the GCF number.
So the greatest common factor 63813 and 63827 is 1.

Also check out the Least Common Multiple of 63813 and 63827