What is the Greatest Common Factor of 90784 and 90791?

Greatest common factor (GCF) of 90784 and 90791 is 1.

GCF(90784,90791) = 1

We will now calculate the prime factors of 90784 and 90791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90784 and 90791.

How to find the GCF of 90784 and 90791?

We will first find the prime factorization of 90784 and 90791. After we will calculate the factors of 90784 and 90791 and find the biggest common factor number .

Step-1: Prime Factorization of 90784

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

90784 = 2⁵ × 2837¹

Step-2: Prime Factorization of 90791

Prime factors of 90791 are 163, 557. Prime factorization of 90791 in exponential form is:

90791 = 163¹ × 557¹

Step-3: Factors of 90784

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

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

Step-4: Factors of 90791

List of positive integer factors of 90791 that divides 90784 without a remainder.

1, 163, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90784 and 90791. The biggest common factor number is the GCF number.
So the greatest common factor 90784 and 90791 is 1.

Also check out the Least Common Multiple of 90784 and 90791