What is the Greatest Common Factor of 90348 and 90363?

Greatest common factor (GCF) of 90348 and 90363 is 3.

GCF(90348,90363) = 3

We will now calculate the prime factors of 90348 and 90363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90348 and 90363.

How to find the GCF of 90348 and 90363?

We will first find the prime factorization of 90348 and 90363. After we will calculate the factors of 90348 and 90363 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90363

Prime factors of 90363 are 3, 7, 13, 331. Prime factorization of 90363 in exponential form is:

90363 = 3¹ × 7¹ × 13¹ × 331¹

Step-3: Factors of 90348

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

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

Step-4: Factors of 90363

List of positive integer factors of 90363 that divides 90348 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 331, 993, 2317, 4303, 6951, 12909, 30121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90348 and 90363. The biggest common factor number is the GCF number.
So the greatest common factor 90348 and 90363 is 3.

Also check out the Least Common Multiple of 90348 and 90363