What is the Greatest Common Factor of 99280 and 99297?

Greatest common factor (GCF) of 99280 and 99297 is 17.

GCF(99280,99297) = 17

We will now calculate the prime factors of 99280 and 99297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99280 and 99297.

How to find the GCF of 99280 and 99297?

We will first find the prime factorization of 99280 and 99297. After we will calculate the factors of 99280 and 99297 and find the biggest common factor number .

Step-1: Prime Factorization of 99280

Prime factors of 99280 are 2, 5, 17, 73. Prime factorization of 99280 in exponential form is:

99280 = 2⁴ × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 99297

Prime factors of 99297 are 3, 11, 17, 59. Prime factorization of 99297 in exponential form is:

99297 = 3² × 11¹ × 17¹ × 59¹

Step-3: Factors of 99280

List of positive integer factors of 99280 that divides 99280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 73, 80, 85, 136, 146, 170, 272, 292, 340, 365, 584, 680, 730, 1168, 1241, 1360, 1460, 2482, 2920, 4964, 5840, 6205, 9928, 12410, 19856, 24820, 49640

Step-4: Factors of 99297

List of positive integer factors of 99297 that divides 99280 without a remainder.

1, 3, 9, 11, 17, 33, 51, 59, 99, 153, 177, 187, 531, 561, 649, 1003, 1683, 1947, 3009, 5841, 9027, 11033, 33099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99280 and 99297. The biggest common factor number is the GCF number.
So the greatest common factor 99280 and 99297 is 17.

Also check out the Least Common Multiple of 99280 and 99297