What is the Greatest Common Factor of 90368 and 90383?

Greatest common factor (GCF) of 90368 and 90383 is 1.

GCF(90368,90383) = 1

We will now calculate the prime factors of 90368 and 90383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90368 and 90383.

How to find the GCF of 90368 and 90383?

We will first find the prime factorization of 90368 and 90383. After we will calculate the factors of 90368 and 90383 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 90383

Prime factors of 90383 are 19, 67, 71. Prime factorization of 90383 in exponential form is:

90383 = 19¹ × 67¹ × 71¹

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 90383

List of positive integer factors of 90383 that divides 90368 without a remainder.

1, 19, 67, 71, 1273, 1349, 4757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90368 and 90383. The biggest common factor number is the GCF number.
So the greatest common factor 90368 and 90383 is 1.

Also check out the Least Common Multiple of 90368 and 90383