What is the Greatest Common Factor of 63882 and 63895?

Greatest common factor (GCF) of 63882 and 63895 is 13.

GCF(63882,63895) = 13

We will now calculate the prime factors of 63882 and 63895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63882 and 63895.

How to find the GCF of 63882 and 63895?

We will first find the prime factorization of 63882 and 63895. After we will calculate the factors of 63882 and 63895 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63895

Prime factors of 63895 are 5, 13, 983. Prime factorization of 63895 in exponential form is:

63895 = 5¹ × 13¹ × 983¹

Step-3: Factors of 63882

List of positive integer factors of 63882 that divides 63882 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

Step-4: Factors of 63895

List of positive integer factors of 63895 that divides 63882 without a remainder.

1, 5, 13, 65, 983, 4915, 12779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63882 and 63895. The biggest common factor number is the GCF number.
So the greatest common factor 63882 and 63895 is 13.

Also check out the Least Common Multiple of 63882 and 63895