What is the Greatest Common Factor of 90336 and 90348?

Greatest common factor (GCF) of 90336 and 90348 is 12.

GCF(90336,90348) = 12

We will now calculate the prime factors of 90336 and 90348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90336 and 90348.

How to find the GCF of 90336 and 90348?

We will first find the prime factorization of 90336 and 90348. After we will calculate the factors of 90336 and 90348 and find the biggest common factor number .

Step-1: Prime Factorization of 90336

Prime factors of 90336 are 2, 3, 941. Prime factorization of 90336 in exponential form is:

90336 = 2⁵ × 3¹ × 941¹

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 90336

List of positive integer factors of 90336 that divides 90336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 941, 1882, 2823, 3764, 5646, 7528, 11292, 15056, 22584, 30112, 45168

Step-4: Factors of 90348

List of positive integer factors of 90348 that divides 90336 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 90336 and 90348. The biggest common factor number is the GCF number.
So the greatest common factor 90336 and 90348 is 12.

Also check out the Least Common Multiple of 90336 and 90348