What is the Greatest Common Factor of 90240 and 90250?

Greatest common factor (GCF) of 90240 and 90250 is 10.

GCF(90240,90250) = 10

We will now calculate the prime factors of 90240 and 90250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90240 and 90250.

How to find the GCF of 90240 and 90250?

We will first find the prime factorization of 90240 and 90250. After we will calculate the factors of 90240 and 90250 and find the biggest common factor number .

Step-1: Prime Factorization of 90240

Prime factors of 90240 are 2, 3, 5, 47. Prime factorization of 90240 in exponential form is:

90240 = 2⁷ × 3¹ × 5¹ × 47¹

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 90240

List of positive integer factors of 90240 that divides 90240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 47, 48, 60, 64, 80, 94, 96, 120, 128, 141, 160, 188, 192, 235, 240, 282, 320, 376, 384, 470, 480, 564, 640, 705, 752, 940, 960, 1128, 1410, 1504, 1880, 1920, 2256, 2820, 3008, 3760, 4512, 5640, 6016, 7520, 9024, 11280, 15040, 18048, 22560, 30080, 45120

Step-4: Factors of 90250

List of positive integer factors of 90250 that divides 90240 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 90240 and 90250. The biggest common factor number is the GCF number.
So the greatest common factor 90240 and 90250 is 10.

Also check out the Least Common Multiple of 90240 and 90250