What is the Greatest Common Factor of 90336 and 90343?

Greatest common factor (GCF) of 90336 and 90343 is 1.

GCF(90336,90343) = 1

We will now calculate the prime factors of 90336 and 90343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90336 and 90343.

How to find the GCF of 90336 and 90343?

We will first find the prime factorization of 90336 and 90343. After we will calculate the factors of 90336 and 90343 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 90343

Prime factors of 90343 are 11, 43, 191. Prime factorization of 90343 in exponential form is:

90343 = 11¹ × 43¹ × 191¹

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 90343

List of positive integer factors of 90343 that divides 90336 without a remainder.

1, 11, 43, 191, 473, 2101, 8213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90336 and 90343. The biggest common factor number is the GCF number.
So the greatest common factor 90336 and 90343 is 1.

Also check out the Least Common Multiple of 90336 and 90343