What is the Greatest Common Factor of 90784 and 90801?

Greatest common factor (GCF) of 90784 and 90801 is 1.

GCF(90784,90801) = 1

We will now calculate the prime factors of 90784 and 90801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90784 and 90801.

How to find the GCF of 90784 and 90801?

We will first find the prime factorization of 90784 and 90801. After we will calculate the factors of 90784 and 90801 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 90801

Prime factors of 90801 are 3, 19, 59. Prime factorization of 90801 in exponential form is:

90801 = 3⁴ × 19¹ × 59¹

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 90801

List of positive integer factors of 90801 that divides 90784 without a remainder.

1, 3, 9, 19, 27, 57, 59, 81, 171, 177, 513, 531, 1121, 1539, 1593, 3363, 4779, 10089, 30267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90784 and 90801. The biggest common factor number is the GCF number.
So the greatest common factor 90784 and 90801 is 1.

Also check out the Least Common Multiple of 90784 and 90801