What is the Greatest Common Factor of 63869 and 63886?

Greatest common factor (GCF) of 63869 and 63886 is 17.

GCF(63869,63886) = 17

We will now calculate the prime factors of 63869 and 63886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63869 and 63886.

How to find the GCF of 63869 and 63886?

We will first find the prime factorization of 63869 and 63886. After we will calculate the factors of 63869 and 63886 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 63886

Prime factors of 63886 are 2, 17, 1879. Prime factorization of 63886 in exponential form is:

63886 = 2¹ × 17¹ × 1879¹

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 63886

List of positive integer factors of 63886 that divides 63869 without a remainder.

1, 2, 17, 34, 1879, 3758, 31943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63869 and 63886. The biggest common factor number is the GCF number.
So the greatest common factor 63869 and 63886 is 17.

Also check out the Least Common Multiple of 63869 and 63886