What is the Greatest Common Factor of 90336 and 90352?

Greatest common factor (GCF) of 90336 and 90352 is 16.

GCF(90336,90352) = 16

We will now calculate the prime factors of 90336 and 90352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90336 and 90352.

How to find the GCF of 90336 and 90352?

We will first find the prime factorization of 90336 and 90352. After we will calculate the factors of 90336 and 90352 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 90352

Prime factors of 90352 are 2, 5647. Prime factorization of 90352 in exponential form is:

90352 = 2⁴ × 5647¹

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 90352

List of positive integer factors of 90352 that divides 90336 without a remainder.

1, 2, 4, 8, 16, 5647, 11294, 22588, 45176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90336 and 90352. The biggest common factor number is the GCF number.
So the greatest common factor 90336 and 90352 is 16.

Also check out the Least Common Multiple of 90336 and 90352