What is the Greatest Common Factor of 90368 and 90374?

Greatest common factor (GCF) of 90368 and 90374 is 2.

GCF(90368,90374) = 2

We will now calculate the prime factors of 90368 and 90374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90368 and 90374.

How to find the GCF of 90368 and 90374?

We will first find the prime factorization of 90368 and 90374. After we will calculate the factors of 90368 and 90374 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 90374

Prime factors of 90374 are 2, 73, 619. Prime factorization of 90374 in exponential form is:

90374 = 2¹ × 73¹ × 619¹

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 90374

List of positive integer factors of 90374 that divides 90368 without a remainder.

1, 2, 73, 146, 619, 1238, 45187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90368 and 90374. The biggest common factor number is the GCF number.
So the greatest common factor 90368 and 90374 is 2.

Also check out the Least Common Multiple of 90368 and 90374