What is the Greatest Common Factor of 90728 and 90733?

Greatest common factor (GCF) of 90728 and 90733 is 1.

GCF(90728,90733) = 1

We will now calculate the prime factors of 90728 and 90733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90728 and 90733.

How to find the GCF of 90728 and 90733?

We will first find the prime factorization of 90728 and 90733. After we will calculate the factors of 90728 and 90733 and find the biggest common factor number .

Step-1: Prime Factorization of 90728

Prime factors of 90728 are 2, 11, 1031. Prime factorization of 90728 in exponential form is:

90728 = 2³ × 11¹ × 1031¹

Step-2: Prime Factorization of 90733

Prime factors of 90733 are 41, 2213. Prime factorization of 90733 in exponential form is:

90733 = 41¹ × 2213¹

Step-3: Factors of 90728

List of positive integer factors of 90728 that divides 90728 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1031, 2062, 4124, 8248, 11341, 22682, 45364

Step-4: Factors of 90733

List of positive integer factors of 90733 that divides 90728 without a remainder.

1, 41, 2213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90728 and 90733. The biggest common factor number is the GCF number.
So the greatest common factor 90728 and 90733 is 1.

Also check out the Least Common Multiple of 90728 and 90733