What is the Greatest Common Factor of 90664 and 90684?

Greatest common factor (GCF) of 90664 and 90684 is 4.

GCF(90664,90684) = 4

We will now calculate the prime factors of 90664 and 90684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90664 and 90684.

How to find the GCF of 90664 and 90684?

We will first find the prime factorization of 90664 and 90684. After we will calculate the factors of 90664 and 90684 and find the biggest common factor number .

Step-1: Prime Factorization of 90664

Prime factors of 90664 are 2, 7, 1619. Prime factorization of 90664 in exponential form is:

90664 = 2³ × 7¹ × 1619¹

Step-2: 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-3: Factors of 90664

List of positive integer factors of 90664 that divides 90664 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1619, 3238, 6476, 11333, 12952, 22666, 45332

Step-4: Factors of 90684

List of positive integer factors of 90684 that divides 90664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90664 and 90684. The biggest common factor number is the GCF number.
So the greatest common factor 90664 and 90684 is 4.

Also check out the Least Common Multiple of 90664 and 90684