What is the Greatest Common Factor of 90250 and 90256?

Greatest common factor (GCF) of 90250 and 90256 is 2.

GCF(90250,90256) = 2

We will now calculate the prime factors of 90250 and 90256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90250 and 90256.

How to find the GCF of 90250 and 90256?

We will first find the prime factorization of 90250 and 90256. After we will calculate the factors of 90250 and 90256 and find the biggest common factor number .

Step-1: Prime Factorization of 90250

Prime factors of 90250 are 2, 5, 19. Prime factorization of 90250 in exponential form is:

90250 = 2¹ × 5³ × 19²

Step-2: Prime Factorization of 90256

Prime factors of 90256 are 2, 5641. Prime factorization of 90256 in exponential form is:

90256 = 2⁴ × 5641¹

Step-3: Factors of 90250

List of positive integer factors of 90250 that divides 90250 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 361, 475, 722, 950, 1805, 2375, 3610, 4750, 9025, 18050, 45125

Step-4: Factors of 90256

List of positive integer factors of 90256 that divides 90250 without a remainder.

1, 2, 4, 8, 16, 5641, 11282, 22564, 45128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90250 and 90256. The biggest common factor number is the GCF number.
So the greatest common factor 90250 and 90256 is 2.

Also check out the Least Common Multiple of 90250 and 90256