What is the Greatest Common Factor of 90235 and 90240?

Greatest common factor (GCF) of 90235 and 90240 is 5.

GCF(90235,90240) = 5

We will now calculate the prime factors of 90235 and 90240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90235 and 90240.

How to find the GCF of 90235 and 90240?

We will first find the prime factorization of 90235 and 90240. After we will calculate the factors of 90235 and 90240 and find the biggest common factor number .

Step-1: Prime Factorization of 90235

Prime factors of 90235 are 5, 18047. Prime factorization of 90235 in exponential form is:

90235 = 5¹ × 18047¹

Step-2: 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-3: Factors of 90235

List of positive integer factors of 90235 that divides 90235 without a remainder.

1, 5, 18047

Step-4: Factors of 90240

List of positive integer factors of 90240 that divides 90235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90235 and 90240. The biggest common factor number is the GCF number.
So the greatest common factor 90235 and 90240 is 5.

Also check out the Least Common Multiple of 90235 and 90240