What is the Greatest Common Factor of 63882 and 63894?

Greatest common factor (GCF) of 63882 and 63894 is 6.

GCF(63882,63894) = 6

We will now calculate the prime factors of 63882 and 63894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63882 and 63894.

How to find the GCF of 63882 and 63894?

We will first find the prime factorization of 63882 and 63894. After we will calculate the factors of 63882 and 63894 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 63894

Prime factors of 63894 are 2, 3, 23, 463. Prime factorization of 63894 in exponential form is:

63894 = 2¹ × 3¹ × 23¹ × 463¹

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 63894

List of positive integer factors of 63894 that divides 63882 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 463, 926, 1389, 2778, 10649, 21298, 31947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63882 and 63894. The biggest common factor number is the GCF number.
So the greatest common factor 63882 and 63894 is 6.

Also check out the Least Common Multiple of 63882 and 63894