What is the Greatest Common Factor of 14272 and 14280?

Greatest common factor (GCF) of 14272 and 14280 is 8.

GCF(14272,14280) = 8

We will now calculate the prime factors of 14272 and 14280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14272 and 14280.

How to find the GCF of 14272 and 14280?

We will first find the prime factorization of 14272 and 14280. After we will calculate the factors of 14272 and 14280 and find the biggest common factor number .

Step-1: Prime Factorization of 14272

Prime factors of 14272 are 2, 223. Prime factorization of 14272 in exponential form is:

14272 = 2⁶ × 223¹

Step-2: Prime Factorization of 14280

Prime factors of 14280 are 2, 3, 5, 7, 17. Prime factorization of 14280 in exponential form is:

14280 = 2³ × 3¹ × 5¹ × 7¹ × 17¹

Step-3: Factors of 14272

List of positive integer factors of 14272 that divides 14272 without a remainder.

1, 2, 4, 8, 16, 32, 64, 223, 446, 892, 1784, 3568, 7136

Step-4: Factors of 14280

List of positive integer factors of 14280 that divides 14272 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 28, 30, 34, 35, 40, 42, 51, 56, 60, 68, 70, 84, 85, 102, 105, 119, 120, 136, 140, 168, 170, 204, 210, 238, 255, 280, 340, 357, 408, 420, 476, 510, 595, 680, 714, 840, 952, 1020, 1190, 1428, 1785, 2040, 2380, 2856, 3570, 4760, 7140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14272 and 14280. The biggest common factor number is the GCF number.
So the greatest common factor 14272 and 14280 is 8.

Also check out the Least Common Multiple of 14272 and 14280