What is the Greatest Common Factor of 14240 and 14259?

Greatest common factor (GCF) of 14240 and 14259 is 1.

GCF(14240,14259) = 1

We will now calculate the prime factors of 14240 and 14259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14240 and 14259.

How to find the GCF of 14240 and 14259?

We will first find the prime factorization of 14240 and 14259. After we will calculate the factors of 14240 and 14259 and find the biggest common factor number .

Step-1: Prime Factorization of 14240

Prime factors of 14240 are 2, 5, 89. Prime factorization of 14240 in exponential form is:

14240 = 2⁵ × 5¹ × 89¹

Step-2: Prime Factorization of 14259

Prime factors of 14259 are 3, 7, 97. Prime factorization of 14259 in exponential form is:

14259 = 3¹ × 7² × 97¹

Step-3: Factors of 14240

List of positive integer factors of 14240 that divides 14240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 89, 160, 178, 356, 445, 712, 890, 1424, 1780, 2848, 3560, 7120

Step-4: Factors of 14259

List of positive integer factors of 14259 that divides 14240 without a remainder.

1, 3, 7, 21, 49, 97, 147, 291, 679, 2037, 4753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14240 and 14259. The biggest common factor number is the GCF number.
So the greatest common factor 14240 and 14259 is 1.

Also check out the Least Common Multiple of 14240 and 14259