What is the Greatest Common Factor of 90336 and 90356?

Greatest common factor (GCF) of 90336 and 90356 is 4.

GCF(90336,90356) = 4

We will now calculate the prime factors of 90336 and 90356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90336 and 90356.

How to find the GCF of 90336 and 90356?

We will first find the prime factorization of 90336 and 90356. After we will calculate the factors of 90336 and 90356 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 90356

Prime factors of 90356 are 2, 7, 461. Prime factorization of 90356 in exponential form is:

90356 = 2² × 7² × 461¹

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 90356

List of positive integer factors of 90356 that divides 90336 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 461, 922, 1844, 3227, 6454, 12908, 22589, 45178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90336 and 90356. The biggest common factor number is the GCF number.
So the greatest common factor 90336 and 90356 is 4.

Also check out the Least Common Multiple of 90336 and 90356