What is the Greatest Common Factor of 90984 and 90990?

Greatest common factor (GCF) of 90984 and 90990 is 6.

GCF(90984,90990) = 6

We will now calculate the prime factors of 90984 and 90990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90984 and 90990.

How to find the GCF of 90984 and 90990?

We will first find the prime factorization of 90984 and 90990. After we will calculate the factors of 90984 and 90990 and find the biggest common factor number .

Step-1: Prime Factorization of 90984

Prime factors of 90984 are 2, 3, 17, 223. Prime factorization of 90984 in exponential form is:

90984 = 2³ × 3¹ × 17¹ × 223¹

Step-2: Prime Factorization of 90990

Prime factors of 90990 are 2, 3, 5, 337. Prime factorization of 90990 in exponential form is:

90990 = 2¹ × 3³ × 5¹ × 337¹

Step-3: Factors of 90984

List of positive integer factors of 90984 that divides 90984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 223, 408, 446, 669, 892, 1338, 1784, 2676, 3791, 5352, 7582, 11373, 15164, 22746, 30328, 45492

Step-4: Factors of 90990

List of positive integer factors of 90990 that divides 90984 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 337, 674, 1011, 1685, 2022, 3033, 3370, 5055, 6066, 9099, 10110, 15165, 18198, 30330, 45495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90984 and 90990. The biggest common factor number is the GCF number.
So the greatest common factor 90984 and 90990 is 6.

Also check out the Least Common Multiple of 90984 and 90990