What is the Greatest Common Factor of 35280 and 35298?

Greatest common factor (GCF) of 35280 and 35298 is 18.

GCF(35280,35298) = 18

We will now calculate the prime factors of 35280 and 35298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35280 and 35298.

How to find the GCF of 35280 and 35298?

We will first find the prime factorization of 35280 and 35298. After we will calculate the factors of 35280 and 35298 and find the biggest common factor number .

Step-1: Prime Factorization of 35280

Prime factors of 35280 are 2, 3, 5, 7. Prime factorization of 35280 in exponential form is:

35280 = 2⁴ × 3² × 5¹ × 7²

Step-2: Prime Factorization of 35298

Prime factors of 35298 are 2, 3, 37, 53. Prime factorization of 35298 in exponential form is:

35298 = 2¹ × 3² × 37¹ × 53¹

Step-3: Factors of 35280

List of positive integer factors of 35280 that divides 35280 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 49, 56, 60, 63, 70, 72, 80, 84, 90, 98, 105, 112, 120, 126, 140, 144, 147, 168, 180, 196, 210, 240, 245, 252, 280, 294, 315, 336, 360, 392, 420, 441, 490, 504, 560, 588, 630, 720, 735, 784, 840, 882, 980, 1008, 1176, 1260, 1470, 1680, 1764, 1960, 2205, 2352, 2520, 2940, 3528, 3920, 4410, 5040, 5880, 7056, 8820, 11760, 17640

Step-4: Factors of 35298

List of positive integer factors of 35298 that divides 35280 without a remainder.

1, 2, 3, 6, 9, 18, 37, 53, 74, 106, 111, 159, 222, 318, 333, 477, 666, 954, 1961, 3922, 5883, 11766, 17649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35280 and 35298. The biggest common factor number is the GCF number.
So the greatest common factor 35280 and 35298 is 18.

Also check out the Least Common Multiple of 35280 and 35298