What is the Greatest Common Factor of 90339 and 90345?

Greatest common factor (GCF) of 90339 and 90345 is 3.

GCF(90339,90345) = 3

We will now calculate the prime factors of 90339 and 90345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90339 and 90345.

How to find the GCF of 90339 and 90345?

We will first find the prime factorization of 90339 and 90345. After we will calculate the factors of 90339 and 90345 and find the biggest common factor number .

Step-1: Prime Factorization of 90339

Prime factors of 90339 are 3, 30113. Prime factorization of 90339 in exponential form is:

90339 = 3¹ × 30113¹

Step-2: Prime Factorization of 90345

Prime factors of 90345 are 3, 5, 19, 317. Prime factorization of 90345 in exponential form is:

90345 = 3¹ × 5¹ × 19¹ × 317¹

Step-3: Factors of 90339

List of positive integer factors of 90339 that divides 90339 without a remainder.

1, 3, 30113

Step-4: Factors of 90345

List of positive integer factors of 90345 that divides 90339 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 317, 951, 1585, 4755, 6023, 18069, 30115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90339 and 90345. The biggest common factor number is the GCF number.
So the greatest common factor 90339 and 90345 is 3.

Also check out the Least Common Multiple of 90339 and 90345