What is the Greatest Common Factor of 90240 and 90260?

Greatest common factor (GCF) of 90240 and 90260 is 20.

GCF(90240,90260) = 20

We will now calculate the prime factors of 90240 and 90260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90240 and 90260.

How to find the GCF of 90240 and 90260?

We will first find the prime factorization of 90240 and 90260. After we will calculate the factors of 90240 and 90260 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 90260

Prime factors of 90260 are 2, 5, 4513. Prime factorization of 90260 in exponential form is:

90260 = 2² × 5¹ × 4513¹

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 90260

List of positive integer factors of 90260 that divides 90240 without a remainder.

1, 2, 4, 5, 10, 20, 4513, 9026, 18052, 22565, 45130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90240 and 90260. The biggest common factor number is the GCF number.
So the greatest common factor 90240 and 90260 is 20.

Also check out the Least Common Multiple of 90240 and 90260