What is the Greatest Common Factor of 90684 and 90690?

Greatest common factor (GCF) of 90684 and 90690 is 6.

GCF(90684,90690) = 6

We will now calculate the prime factors of 90684 and 90690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90684 and 90690.

How to find the GCF of 90684 and 90690?

We will first find the prime factorization of 90684 and 90690. After we will calculate the factors of 90684 and 90690 and find the biggest common factor number .

Step-1: Prime Factorization of 90684

Prime factors of 90684 are 2, 3, 11, 229. Prime factorization of 90684 in exponential form is:

90684 = 2² × 3² × 11¹ × 229¹

Step-2: Prime Factorization of 90690

Prime factors of 90690 are 2, 3, 5, 3023. Prime factorization of 90690 in exponential form is:

90690 = 2¹ × 3¹ × 5¹ × 3023¹

Step-3: Factors of 90684

List of positive integer factors of 90684 that divides 90684 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 229, 396, 458, 687, 916, 1374, 2061, 2519, 2748, 4122, 5038, 7557, 8244, 10076, 15114, 22671, 30228, 45342

Step-4: Factors of 90690

List of positive integer factors of 90690 that divides 90684 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3023, 6046, 9069, 15115, 18138, 30230, 45345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90684 and 90690. The biggest common factor number is the GCF number.
So the greatest common factor 90684 and 90690 is 6.

Also check out the Least Common Multiple of 90684 and 90690