What is the Greatest Common Factor of 14280 and 14290?

Greatest common factor (GCF) of 14280 and 14290 is 10.

GCF(14280,14290) = 10

We will now calculate the prime factors of 14280 and 14290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14280 and 14290.

How to find the GCF of 14280 and 14290?

We will first find the prime factorization of 14280 and 14290. After we will calculate the factors of 14280 and 14290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14290

Prime factors of 14290 are 2, 5, 1429. Prime factorization of 14290 in exponential form is:

14290 = 2¹ × 5¹ × 1429¹

Step-3: Factors of 14280

List of positive integer factors of 14280 that divides 14280 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

Step-4: Factors of 14290

List of positive integer factors of 14290 that divides 14280 without a remainder.

1, 2, 5, 10, 1429, 2858, 7145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14280 and 14290. The biggest common factor number is the GCF number.
So the greatest common factor 14280 and 14290 is 10.

Also check out the Least Common Multiple of 14280 and 14290