What is the Greatest Common Factor of 63861 and 63876?

Greatest common factor (GCF) of 63861 and 63876 is 3.

GCF(63861,63876) = 3

We will now calculate the prime factors of 63861 and 63876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63861 and 63876.

How to find the GCF of 63861 and 63876?

We will first find the prime factorization of 63861 and 63876. After we will calculate the factors of 63861 and 63876 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63876

Prime factors of 63876 are 2, 3, 5323. Prime factorization of 63876 in exponential form is:

63876 = 2² × 3¹ × 5323¹

Step-3: Factors of 63861

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

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

Step-4: Factors of 63876

List of positive integer factors of 63876 that divides 63861 without a remainder.

1, 2, 3, 4, 6, 12, 5323, 10646, 15969, 21292, 31938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63861 and 63876. The biggest common factor number is the GCF number.
So the greatest common factor 63861 and 63876 is 3.

Also check out the Least Common Multiple of 63861 and 63876