What is the Greatest Common Factor of 90801 and 90817?

Greatest common factor (GCF) of 90801 and 90817 is 1.

GCF(90801,90817) = 1

We will now calculate the prime factors of 90801 and 90817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90801 and 90817.

How to find the GCF of 90801 and 90817?

We will first find the prime factorization of 90801 and 90817. After we will calculate the factors of 90801 and 90817 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90817

Prime factors of 90817 are 197, 461. Prime factorization of 90817 in exponential form is:

90817 = 197¹ × 461¹

Step-3: Factors of 90801

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

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

Step-4: Factors of 90817

List of positive integer factors of 90817 that divides 90801 without a remainder.

1, 197, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90801 and 90817. The biggest common factor number is the GCF number.
So the greatest common factor 90801 and 90817 is 1.

Also check out the Least Common Multiple of 90801 and 90817