What is the Greatest Common Factor of 35280 and 35299?

Greatest common factor (GCF) of 35280 and 35299 is 1.

GCF(35280,35299) = 1

We will now calculate the prime factors of 35280 and 35299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35280 and 35299.

How to find the GCF of 35280 and 35299?

We will first find the prime factorization of 35280 and 35299. After we will calculate the factors of 35280 and 35299 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 35299

Prime factors of 35299 are 11, 3209. Prime factorization of 35299 in exponential form is:

35299 = 11¹ × 3209¹

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 35299

List of positive integer factors of 35299 that divides 35280 without a remainder.

1, 11, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35280 and 35299. The biggest common factor number is the GCF number.
So the greatest common factor 35280 and 35299 is 1.

Also check out the Least Common Multiple of 35280 and 35299