What is the Greatest Common Factor of 89964 and 89973?

Greatest common factor (GCF) of 89964 and 89973 is 9.

GCF(89964,89973) = 9

We will now calculate the prime factors of 89964 and 89973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89964 and 89973.

How to find the GCF of 89964 and 89973?

We will first find the prime factorization of 89964 and 89973. After we will calculate the factors of 89964 and 89973 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 89973

Prime factors of 89973 are 3, 13, 769. Prime factorization of 89973 in exponential form is:

89973 = 3² × 13¹ × 769¹

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 89973

List of positive integer factors of 89973 that divides 89964 without a remainder.

1, 3, 9, 13, 39, 117, 769, 2307, 6921, 9997, 29991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89964 and 89973. The biggest common factor number is the GCF number.
So the greatest common factor 89964 and 89973 is 9.

Also check out the Least Common Multiple of 89964 and 89973