What is the Greatest Common Factor of 90339 and 90348?

Greatest common factor (GCF) of 90339 and 90348 is 3.

GCF(90339,90348) = 3

We will now calculate the prime factors of 90339 and 90348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90339 and 90348.

How to find the GCF of 90339 and 90348?

We will first find the prime factorization of 90339 and 90348. After we will calculate the factors of 90339 and 90348 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 90348

Prime factors of 90348 are 2, 3, 7529. Prime factorization of 90348 in exponential form is:

90348 = 2² × 3¹ × 7529¹

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 90348

List of positive integer factors of 90348 that divides 90339 without a remainder.

1, 2, 3, 4, 6, 12, 7529, 15058, 22587, 30116, 45174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90339 and 90348. The biggest common factor number is the GCF number.
So the greatest common factor 90339 and 90348 is 3.

Also check out the Least Common Multiple of 90339 and 90348