What is the Greatest Common Factor of 90667 and 90684?

Greatest common factor (GCF) of 90667 and 90684 is 1.

GCF(90667,90684) = 1

We will now calculate the prime factors of 90667 and 90684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90667 and 90684.

How to find the GCF of 90667 and 90684?

We will first find the prime factorization of 90667 and 90684. After we will calculate the factors of 90667 and 90684 and find the biggest common factor number .

Step-1: Prime Factorization of 90667

Prime factors of 90667 are 71, 1277. Prime factorization of 90667 in exponential form is:

90667 = 71¹ × 1277¹

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 90667

List of positive integer factors of 90667 that divides 90667 without a remainder.

1, 71, 1277

Step-4: Factors of 90684

List of positive integer factors of 90684 that divides 90667 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 90667 and 90684. The biggest common factor number is the GCF number.
So the greatest common factor 90667 and 90684 is 1.

Also check out the Least Common Multiple of 90667 and 90684