What is the Greatest Common Factor of 63872 and 63882?

Greatest common factor (GCF) of 63872 and 63882 is 2.

GCF(63872,63882) = 2

We will now calculate the prime factors of 63872 and 63882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63872 and 63882.

How to find the GCF of 63872 and 63882?

We will first find the prime factorization of 63872 and 63882. After we will calculate the factors of 63872 and 63882 and find the biggest common factor number .

Step-1: Prime Factorization of 63872

Prime factors of 63872 are 2, 499. Prime factorization of 63872 in exponential form is:

63872 = 2⁷ × 499¹

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 63872

List of positive integer factors of 63872 that divides 63872 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 499, 998, 1996, 3992, 7984, 15968, 31936

Step-4: Factors of 63882

List of positive integer factors of 63882 that divides 63872 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 63872 and 63882. The biggest common factor number is the GCF number.
So the greatest common factor 63872 and 63882 is 2.

Also check out the Least Common Multiple of 63872 and 63882