What is the Greatest Common Factor of 63869 and 63876?

Greatest common factor (GCF) of 63869 and 63876 is 1.

GCF(63869,63876) = 1

We will now calculate the prime factors of 63869 and 63876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63869 and 63876.

How to find the GCF of 63869 and 63876?

We will first find the prime factorization of 63869 and 63876. After we will calculate the factors of 63869 and 63876 and find the biggest common factor number .

Step-1: Prime Factorization of 63869

Prime factors of 63869 are 13, 17. Prime factorization of 63869 in exponential form is:

63869 = 13¹ × 17³

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 63869

List of positive integer factors of 63869 that divides 63869 without a remainder.

1, 13, 17, 221, 289, 3757, 4913

Step-4: Factors of 63876

List of positive integer factors of 63876 that divides 63869 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 63869 and 63876. The biggest common factor number is the GCF number.
So the greatest common factor 63869 and 63876 is 1.

Also check out the Least Common Multiple of 63869 and 63876