What is the Greatest Common Factor of 14240 and 14260?

Greatest common factor (GCF) of 14240 and 14260 is 20.

GCF(14240,14260) = 20

We will now calculate the prime factors of 14240 and 14260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14240 and 14260.

How to find the GCF of 14240 and 14260?

We will first find the prime factorization of 14240 and 14260. After we will calculate the factors of 14240 and 14260 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 14260

Prime factors of 14260 are 2, 5, 23, 31. Prime factorization of 14260 in exponential form is:

14260 = 2² × 5¹ × 23¹ × 31¹

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 14260

List of positive integer factors of 14260 that divides 14240 without a remainder.

1, 2, 4, 5, 10, 20, 23, 31, 46, 62, 92, 115, 124, 155, 230, 310, 460, 620, 713, 1426, 2852, 3565, 7130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14240 and 14260. The biggest common factor number is the GCF number.
So the greatest common factor 14240 and 14260 is 20.

Also check out the Least Common Multiple of 14240 and 14260