What is the Greatest Common Factor of 14564 and 14575?

Greatest common factor (GCF) of 14564 and 14575 is 11.

GCF(14564,14575) = 11

We will now calculate the prime factors of 14564 and 14575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14564 and 14575.

How to find the GCF of 14564 and 14575?

We will first find the prime factorization of 14564 and 14575. After we will calculate the factors of 14564 and 14575 and find the biggest common factor number .

Step-1: Prime Factorization of 14564

Prime factors of 14564 are 2, 11, 331. Prime factorization of 14564 in exponential form is:

14564 = 2² × 11¹ × 331¹

Step-2: Prime Factorization of 14575

Prime factors of 14575 are 5, 11, 53. Prime factorization of 14575 in exponential form is:

14575 = 5² × 11¹ × 53¹

Step-3: Factors of 14564

List of positive integer factors of 14564 that divides 14564 without a remainder.

1, 2, 4, 11, 22, 44, 331, 662, 1324, 3641, 7282

Step-4: Factors of 14575

List of positive integer factors of 14575 that divides 14564 without a remainder.

1, 5, 11, 25, 53, 55, 265, 275, 583, 1325, 2915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14564 and 14575. The biggest common factor number is the GCF number.
So the greatest common factor 14564 and 14575 is 11.

Also check out the Least Common Multiple of 14564 and 14575