What is the Greatest Common Factor of 14534 and 14547?

Greatest common factor (GCF) of 14534 and 14547 is 13.

GCF(14534,14547) = 13

We will now calculate the prime factors of 14534 and 14547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14534 and 14547.

How to find the GCF of 14534 and 14547?

We will first find the prime factorization of 14534 and 14547. After we will calculate the factors of 14534 and 14547 and find the biggest common factor number .

Step-1: Prime Factorization of 14534

Prime factors of 14534 are 2, 13, 43. Prime factorization of 14534 in exponential form is:

14534 = 2¹ × 13² × 43¹

Step-2: Prime Factorization of 14547

Prime factors of 14547 are 3, 13, 373. Prime factorization of 14547 in exponential form is:

14547 = 3¹ × 13¹ × 373¹

Step-3: Factors of 14534

List of positive integer factors of 14534 that divides 14534 without a remainder.

1, 2, 13, 26, 43, 86, 169, 338, 559, 1118, 7267

Step-4: Factors of 14547

List of positive integer factors of 14547 that divides 14534 without a remainder.

1, 3, 13, 39, 373, 1119, 4849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14534 and 14547. The biggest common factor number is the GCF number.
So the greatest common factor 14534 and 14547 is 13.

Also check out the Least Common Multiple of 14534 and 14547