What is the Greatest Common Factor of 63869 and 63882?

Greatest common factor (GCF) of 63869 and 63882 is 13.

GCF(63869,63882) = 13

We will now calculate the prime factors of 63869 and 63882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63869 and 63882.

How to find the GCF of 63869 and 63882?

We will first find the prime factorization of 63869 and 63882. After we will calculate the factors of 63869 and 63882 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 63882

Prime factors of 63882 are 2, 3, 7, 13. Prime factorization of 63882 in exponential form is:

63882 = 2¹ × 3³ × 7¹ × 13²

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 63882

List of positive integer factors of 63882 that divides 63869 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 169, 182, 189, 234, 273, 338, 351, 378, 507, 546, 702, 819, 1014, 1183, 1521, 1638, 2366, 2457, 3042, 3549, 4563, 4914, 7098, 9126, 10647, 21294, 31941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63869 and 63882. The biggest common factor number is the GCF number.
So the greatest common factor 63869 and 63882 is 13.

Also check out the Least Common Multiple of 63869 and 63882