What is the Greatest Common Factor of 63873 and 63879?

Greatest common factor (GCF) of 63873 and 63879 is 3.

GCF(63873,63879) = 3

We will now calculate the prime factors of 63873 and 63879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63873 and 63879.

How to find the GCF of 63873 and 63879?

We will first find the prime factorization of 63873 and 63879. After we will calculate the factors of 63873 and 63879 and find the biggest common factor number .

Step-1: Prime Factorization of 63873

Prime factors of 63873 are 3, 47, 151. Prime factorization of 63873 in exponential form is:

63873 = 3² × 47¹ × 151¹

Step-2: Prime Factorization of 63879

Prime factors of 63879 are 3, 107, 199. Prime factorization of 63879 in exponential form is:

63879 = 3¹ × 107¹ × 199¹

Step-3: Factors of 63873

List of positive integer factors of 63873 that divides 63873 without a remainder.

1, 3, 9, 47, 141, 151, 423, 453, 1359, 7097, 21291

Step-4: Factors of 63879

List of positive integer factors of 63879 that divides 63873 without a remainder.

1, 3, 107, 199, 321, 597, 21293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63873 and 63879. The biggest common factor number is the GCF number.
So the greatest common factor 63873 and 63879 is 3.

Also check out the Least Common Multiple of 63873 and 63879