What is the Greatest Common Factor of 90765 and 90784?

Greatest common factor (GCF) of 90765 and 90784 is 1.

GCF(90765,90784) = 1

We will now calculate the prime factors of 90765 and 90784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90765 and 90784.

How to find the GCF of 90765 and 90784?

We will first find the prime factorization of 90765 and 90784. After we will calculate the factors of 90765 and 90784 and find the biggest common factor number .

Step-1: Prime Factorization of 90765

Prime factors of 90765 are 3, 5, 2017. Prime factorization of 90765 in exponential form is:

90765 = 3² × 5¹ × 2017¹

Step-2: Prime Factorization of 90784

Prime factors of 90784 are 2, 2837. Prime factorization of 90784 in exponential form is:

90784 = 2⁵ × 2837¹

Step-3: Factors of 90765

List of positive integer factors of 90765 that divides 90765 without a remainder.

1, 3, 5, 9, 15, 45, 2017, 6051, 10085, 18153, 30255

Step-4: Factors of 90784

List of positive integer factors of 90784 that divides 90765 without a remainder.

1, 2, 4, 8, 16, 32, 2837, 5674, 11348, 22696, 45392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90765 and 90784. The biggest common factor number is the GCF number.
So the greatest common factor 90765 and 90784 is 1.

Also check out the Least Common Multiple of 90765 and 90784