What is the Greatest Common Factor of 14240 and 14258?

Greatest common factor (GCF) of 14240 and 14258 is 2.

GCF(14240,14258) = 2

We will now calculate the prime factors of 14240 and 14258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14240 and 14258.

How to find the GCF of 14240 and 14258?

We will first find the prime factorization of 14240 and 14258. After we will calculate the factors of 14240 and 14258 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 14258

Prime factors of 14258 are 2, 7129. Prime factorization of 14258 in exponential form is:

14258 = 2¹ × 7129¹

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 14258

List of positive integer factors of 14258 that divides 14240 without a remainder.

1, 2, 7129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14240 and 14258. The biggest common factor number is the GCF number.
So the greatest common factor 14240 and 14258 is 2.

Also check out the Least Common Multiple of 14240 and 14258