What is the Greatest Common Factor of 90368 and 90386?

Greatest common factor (GCF) of 90368 and 90386 is 2.

GCF(90368,90386) = 2

We will now calculate the prime factors of 90368 and 90386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90368 and 90386.

How to find the GCF of 90368 and 90386?

We will first find the prime factorization of 90368 and 90386. After we will calculate the factors of 90368 and 90386 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 90386

Prime factors of 90386 are 2, 43, 1051. Prime factorization of 90386 in exponential form is:

90386 = 2¹ × 43¹ × 1051¹

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 90386

List of positive integer factors of 90386 that divides 90368 without a remainder.

1, 2, 43, 86, 1051, 2102, 45193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90368 and 90386. The biggest common factor number is the GCF number.
So the greatest common factor 90368 and 90386 is 2.

Also check out the Least Common Multiple of 90368 and 90386