What is the Greatest Common Factor of 90368 and 90382?

Greatest common factor (GCF) of 90368 and 90382 is 2.

GCF(90368,90382) = 2

We will now calculate the prime factors of 90368 and 90382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90368 and 90382.

How to find the GCF of 90368 and 90382?

We will first find the prime factorization of 90368 and 90382. After we will calculate the factors of 90368 and 90382 and find the biggest common factor number .

Step-1: Prime Factorization of 90368

Prime factors of 90368 are 2, 353. Prime factorization of 90368 in exponential form is:

90368 = 2⁸ × 353¹

Step-2: Prime Factorization of 90382

Prime factors of 90382 are 2, 45191. Prime factorization of 90382 in exponential form is:

90382 = 2¹ × 45191¹

Step-3: Factors of 90368

List of positive integer factors of 90368 that divides 90368 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 353, 706, 1412, 2824, 5648, 11296, 22592, 45184

Step-4: Factors of 90382

List of positive integer factors of 90382 that divides 90368 without a remainder.

1, 2, 45191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90368 and 90382. The biggest common factor number is the GCF number.
So the greatest common factor 90368 and 90382 is 2.

Also check out the Least Common Multiple of 90368 and 90382