What is the Greatest Common Factor of 91989 and 92004?

Greatest common factor (GCF) of 91989 and 92004 is 3.

GCF(91989,92004) = 3

We will now calculate the prime factors of 91989 and 92004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91989 and 92004.

How to find the GCF of 91989 and 92004?

We will first find the prime factorization of 91989 and 92004. After we will calculate the factors of 91989 and 92004 and find the biggest common factor number .

Step-1: Prime Factorization of 91989

Prime factors of 91989 are 3, 3407. Prime factorization of 91989 in exponential form is:

91989 = 3³ × 3407¹

Step-2: Prime Factorization of 92004

Prime factors of 92004 are 2, 3, 11, 17, 41. Prime factorization of 92004 in exponential form is:

92004 = 2² × 3¹ × 11¹ × 17¹ × 41¹

Step-3: Factors of 91989

List of positive integer factors of 91989 that divides 91989 without a remainder.

1, 3, 9, 27, 3407, 10221, 30663

Step-4: Factors of 92004

List of positive integer factors of 92004 that divides 91989 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 41, 44, 51, 66, 68, 82, 102, 123, 132, 164, 187, 204, 246, 374, 451, 492, 561, 697, 748, 902, 1122, 1353, 1394, 1804, 2091, 2244, 2706, 2788, 4182, 5412, 7667, 8364, 15334, 23001, 30668, 46002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91989 and 92004. The biggest common factor number is the GCF number.
So the greatest common factor 91989 and 92004 is 3.

Also check out the Least Common Multiple of 91989 and 92004