What is the Greatest Common Factor of 90368 and 90380?

Greatest common factor (GCF) of 90368 and 90380 is 4.

GCF(90368,90380) = 4

We will now calculate the prime factors of 90368 and 90380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90368 and 90380.

How to find the GCF of 90368 and 90380?

We will first find the prime factorization of 90368 and 90380. After we will calculate the factors of 90368 and 90380 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 90380

Prime factors of 90380 are 2, 5, 4519. Prime factorization of 90380 in exponential form is:

90380 = 2² × 5¹ × 4519¹

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 90380

List of positive integer factors of 90380 that divides 90368 without a remainder.

1, 2, 4, 5, 10, 20, 4519, 9038, 18076, 22595, 45190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90368 and 90380. The biggest common factor number is the GCF number.
So the greatest common factor 90368 and 90380 is 4.

Also check out the Least Common Multiple of 90368 and 90380