What is the Greatest Common Factor of 35266 and 35280?

Greatest common factor (GCF) of 35266 and 35280 is 14.

GCF(35266,35280) = 14

We will now calculate the prime factors of 35266 and 35280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35266 and 35280.

How to find the GCF of 35266 and 35280?

We will first find the prime factorization of 35266 and 35280. After we will calculate the factors of 35266 and 35280 and find the biggest common factor number .

Step-1: Prime Factorization of 35266

Prime factors of 35266 are 2, 7, 11, 229. Prime factorization of 35266 in exponential form is:

35266 = 2¹ × 7¹ × 11¹ × 229¹

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 35266

List of positive integer factors of 35266 that divides 35266 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 229, 458, 1603, 2519, 3206, 5038, 17633

Step-4: Factors of 35280

List of positive integer factors of 35280 that divides 35266 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 35266 and 35280. The biggest common factor number is the GCF number.
So the greatest common factor 35266 and 35280 is 14.

Also check out the Least Common Multiple of 35266 and 35280