What is the Greatest Common Factor of 90387 and 90393?

Greatest common factor (GCF) of 90387 and 90393 is 3.

GCF(90387,90393) = 3

We will now calculate the prime factors of 90387 and 90393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90387 and 90393.

How to find the GCF of 90387 and 90393?

We will first find the prime factorization of 90387 and 90393. After we will calculate the factors of 90387 and 90393 and find the biggest common factor number .

Step-1: Prime Factorization of 90387

Prime factors of 90387 are 3, 11, 83. Prime factorization of 90387 in exponential form is:

90387 = 3² × 11² × 83¹

Step-2: Prime Factorization of 90393

Prime factors of 90393 are 3, 29, 1039. Prime factorization of 90393 in exponential form is:

90393 = 3¹ × 29¹ × 1039¹

Step-3: Factors of 90387

List of positive integer factors of 90387 that divides 90387 without a remainder.

1, 3, 9, 11, 33, 83, 99, 121, 249, 363, 747, 913, 1089, 2739, 8217, 10043, 30129

Step-4: Factors of 90393

List of positive integer factors of 90393 that divides 90387 without a remainder.

1, 3, 29, 87, 1039, 3117, 30131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90387 and 90393. The biggest common factor number is the GCF number.
So the greatest common factor 90387 and 90393 is 3.

Also check out the Least Common Multiple of 90387 and 90393