What is the Greatest Common Factor of 90733 and 90741?

Greatest common factor (GCF) of 90733 and 90741 is 1.

GCF(90733,90741) = 1

We will now calculate the prime factors of 90733 and 90741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90733 and 90741.

How to find the GCF of 90733 and 90741?

We will first find the prime factorization of 90733 and 90741. After we will calculate the factors of 90733 and 90741 and find the biggest common factor number .

Step-1: Prime Factorization of 90733

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

90733 = 41¹ × 2213¹

Step-2: Prime Factorization of 90741

Prime factors of 90741 are 3, 7, 29, 149. Prime factorization of 90741 in exponential form is:

90741 = 3¹ × 7¹ × 29¹ × 149¹

Step-3: Factors of 90733

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

1, 41, 2213

Step-4: Factors of 90741

List of positive integer factors of 90741 that divides 90733 without a remainder.

1, 3, 7, 21, 29, 87, 149, 203, 447, 609, 1043, 3129, 4321, 12963, 30247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90733 and 90741. The biggest common factor number is the GCF number.
So the greatest common factor 90733 and 90741 is 1.

Also check out the Least Common Multiple of 90733 and 90741