What is the Greatest Common Factor of 89964 and 89982?

Greatest common factor (GCF) of 89964 and 89982 is 18.

GCF(89964,89982) = 18

We will now calculate the prime factors of 89964 and 89982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89964 and 89982.

How to find the GCF of 89964 and 89982?

We will first find the prime factorization of 89964 and 89982. After we will calculate the factors of 89964 and 89982 and find the biggest common factor number .

Step-1: Prime Factorization of 89964

Prime factors of 89964 are 2, 3, 7, 17. Prime factorization of 89964 in exponential form is:

89964 = 2² × 3³ × 7² × 17¹

Step-2: Prime Factorization of 89982

Prime factors of 89982 are 2, 3, 4999. Prime factorization of 89982 in exponential form is:

89982 = 2¹ × 3² × 4999¹

Step-3: Factors of 89964

List of positive integer factors of 89964 that divides 89964 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 27, 28, 34, 36, 42, 49, 51, 54, 63, 68, 84, 98, 102, 108, 119, 126, 147, 153, 189, 196, 204, 238, 252, 294, 306, 357, 378, 441, 459, 476, 588, 612, 714, 756, 833, 882, 918, 1071, 1323, 1428, 1666, 1764, 1836, 2142, 2499, 2646, 3213, 3332, 4284, 4998, 5292, 6426, 7497, 9996, 12852, 14994, 22491, 29988, 44982

Step-4: Factors of 89982

List of positive integer factors of 89982 that divides 89964 without a remainder.

1, 2, 3, 6, 9, 18, 4999, 9998, 14997, 29994, 44991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89964 and 89982. The biggest common factor number is the GCF number.
So the greatest common factor 89964 and 89982 is 18.

Also check out the Least Common Multiple of 89964 and 89982