What is the Greatest Common Factor of 90684 and 90697?

Greatest common factor (GCF) of 90684 and 90697 is 1.

GCF(90684,90697) = 1

We will now calculate the prime factors of 90684 and 90697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90684 and 90697.

How to find the GCF of 90684 and 90697?

We will first find the prime factorization of 90684 and 90697. After we will calculate the factors of 90684 and 90697 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 90697

Prime factors of 90697 are 90697. Prime factorization of 90697 in exponential form is:

90697 = 90697¹

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 90697

List of positive integer factors of 90697 that divides 90684 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90684 and 90697. The biggest common factor number is the GCF number.
So the greatest common factor 90684 and 90697 is 1.

Also check out the Least Common Multiple of 90684 and 90697