What is the Greatest Common Factor of 63966 and 63984?

Greatest common factor (GCF) of 63966 and 63984 is 6.

GCF(63966,63984) = 6

We will now calculate the prime factors of 63966 and 63984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63966 and 63984.

How to find the GCF of 63966 and 63984?

We will first find the prime factorization of 63966 and 63984. After we will calculate the factors of 63966 and 63984 and find the biggest common factor number .

Step-1: Prime Factorization of 63966

Prime factors of 63966 are 2, 3, 7, 1523. Prime factorization of 63966 in exponential form is:

63966 = 2¹ × 3¹ × 7¹ × 1523¹

Step-2: Prime Factorization of 63984

Prime factors of 63984 are 2, 3, 31, 43. Prime factorization of 63984 in exponential form is:

63984 = 2⁴ × 3¹ × 31¹ × 43¹

Step-3: Factors of 63966

List of positive integer factors of 63966 that divides 63966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1523, 3046, 4569, 9138, 10661, 21322, 31983

Step-4: Factors of 63984

List of positive integer factors of 63984 that divides 63966 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 43, 48, 62, 86, 93, 124, 129, 172, 186, 248, 258, 344, 372, 496, 516, 688, 744, 1032, 1333, 1488, 2064, 2666, 3999, 5332, 7998, 10664, 15996, 21328, 31992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63966 and 63984. The biggest common factor number is the GCF number.
So the greatest common factor 63966 and 63984 is 6.

Also check out the Least Common Multiple of 63966 and 63984