What is the Greatest Common Factor of 63846 and 63861?

Greatest common factor (GCF) of 63846 and 63861 is 3.

GCF(63846,63861) = 3

We will now calculate the prime factors of 63846 and 63861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63846 and 63861.

How to find the GCF of 63846 and 63861?

We will first find the prime factorization of 63846 and 63861. After we will calculate the factors of 63846 and 63861 and find the biggest common factor number .

Step-1: Prime Factorization of 63846

Prime factors of 63846 are 2, 3, 3547. Prime factorization of 63846 in exponential form is:

63846 = 2¹ × 3² × 3547¹

Step-2: Prime Factorization of 63861

Prime factors of 63861 are 3, 7, 3041. Prime factorization of 63861 in exponential form is:

63861 = 3¹ × 7¹ × 3041¹

Step-3: Factors of 63846

List of positive integer factors of 63846 that divides 63846 without a remainder.

1, 2, 3, 6, 9, 18, 3547, 7094, 10641, 21282, 31923

Step-4: Factors of 63861

List of positive integer factors of 63861 that divides 63846 without a remainder.

1, 3, 7, 21, 3041, 9123, 21287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63846 and 63861. The biggest common factor number is the GCF number.
So the greatest common factor 63846 and 63861 is 3.

Also check out the Least Common Multiple of 63846 and 63861