What is the Greatest Common Factor of 35270 and 35280?

Greatest common factor (GCF) of 35270 and 35280 is 10.

GCF(35270,35280) = 10

We will now calculate the prime factors of 35270 and 35280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35270 and 35280.

How to find the GCF of 35270 and 35280?

We will first find the prime factorization of 35270 and 35280. After we will calculate the factors of 35270 and 35280 and find the biggest common factor number .

Step-1: Prime Factorization of 35270

Prime factors of 35270 are 2, 5, 3527. Prime factorization of 35270 in exponential form is:

35270 = 2¹ × 5¹ × 3527¹

Step-2: 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-3: Factors of 35270

List of positive integer factors of 35270 that divides 35270 without a remainder.

1, 2, 5, 10, 3527, 7054, 17635

Step-4: Factors of 35280

List of positive integer factors of 35280 that divides 35270 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35270 and 35280. The biggest common factor number is the GCF number.
So the greatest common factor 35270 and 35280 is 10.

Also check out the Least Common Multiple of 35270 and 35280