What is the Greatest Common Factor of 35280 and 35297?

Greatest common factor (GCF) of 35280 and 35297 is 1.

GCF(35280,35297) = 1

We will now calculate the prime factors of 35280 and 35297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35280 and 35297.

How to find the GCF of 35280 and 35297?

We will first find the prime factorization of 35280 and 35297. After we will calculate the factors of 35280 and 35297 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 35297

Prime factors of 35297 are 47, 751. Prime factorization of 35297 in exponential form is:

35297 = 47¹ × 751¹

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 35297

List of positive integer factors of 35297 that divides 35280 without a remainder.

1, 47, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35280 and 35297. The biggest common factor number is the GCF number.
So the greatest common factor 35280 and 35297 is 1.

Also check out the Least Common Multiple of 35280 and 35297