What is the Greatest Common Factor of 14225 and 14240?

Greatest common factor (GCF) of 14225 and 14240 is 5.

GCF(14225,14240) = 5

We will now calculate the prime factors of 14225 and 14240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14225 and 14240.

How to find the GCF of 14225 and 14240?

We will first find the prime factorization of 14225 and 14240. After we will calculate the factors of 14225 and 14240 and find the biggest common factor number .

Step-1: Prime Factorization of 14225

Prime factors of 14225 are 5, 569. Prime factorization of 14225 in exponential form is:

14225 = 5² × 569¹

Step-2: 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-3: Factors of 14225

List of positive integer factors of 14225 that divides 14225 without a remainder.

1, 5, 25, 569, 2845

Step-4: Factors of 14240

List of positive integer factors of 14240 that divides 14225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14225 and 14240. The biggest common factor number is the GCF number.
So the greatest common factor 14225 and 14240 is 5.

Also check out the Least Common Multiple of 14225 and 14240