What is the Greatest Common Factor of 90238 and 90250?

Greatest common factor (GCF) of 90238 and 90250 is 2.

GCF(90238,90250) = 2

We will now calculate the prime factors of 90238 and 90250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90238 and 90250.

How to find the GCF of 90238 and 90250?

We will first find the prime factorization of 90238 and 90250. After we will calculate the factors of 90238 and 90250 and find the biggest common factor number .

Step-1: Prime Factorization of 90238

Prime factors of 90238 are 2, 45119. Prime factorization of 90238 in exponential form is:

90238 = 2¹ × 45119¹

Step-2: 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-3: Factors of 90238

List of positive integer factors of 90238 that divides 90238 without a remainder.

1, 2, 45119

Step-4: Factors of 90250

List of positive integer factors of 90250 that divides 90238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90238 and 90250. The biggest common factor number is the GCF number.
So the greatest common factor 90238 and 90250 is 2.

Also check out the Least Common Multiple of 90238 and 90250