What is the Greatest Common Factor of 90278 and 90282?

Greatest common factor (GCF) of 90278 and 90282 is 2.

GCF(90278,90282) = 2

We will now calculate the prime factors of 90278 and 90282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90278 and 90282.

How to find the GCF of 90278 and 90282?

We will first find the prime factorization of 90278 and 90282. After we will calculate the factors of 90278 and 90282 and find the biggest common factor number .

Step-1: Prime Factorization of 90278

Prime factors of 90278 are 2, 45139. Prime factorization of 90278 in exponential form is:

90278 = 2¹ × 45139¹

Step-2: Prime Factorization of 90282

Prime factors of 90282 are 2, 3, 41, 367. Prime factorization of 90282 in exponential form is:

90282 = 2¹ × 3¹ × 41¹ × 367¹

Step-3: Factors of 90278

List of positive integer factors of 90278 that divides 90278 without a remainder.

1, 2, 45139

Step-4: Factors of 90282

List of positive integer factors of 90282 that divides 90278 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 367, 734, 1101, 2202, 15047, 30094, 45141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90278 and 90282. The biggest common factor number is the GCF number.
So the greatest common factor 90278 and 90282 is 2.

Also check out the Least Common Multiple of 90278 and 90282