What is the Greatest Common Factor of 14526 and 14541?

Greatest common factor (GCF) of 14526 and 14541 is 3.

GCF(14526,14541) = 3

We will now calculate the prime factors of 14526 and 14541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14526 and 14541.

How to find the GCF of 14526 and 14541?

We will first find the prime factorization of 14526 and 14541. After we will calculate the factors of 14526 and 14541 and find the biggest common factor number .

Step-1: Prime Factorization of 14526

Prime factors of 14526 are 2, 3, 269. Prime factorization of 14526 in exponential form is:

14526 = 2¹ × 3³ × 269¹

Step-2: Prime Factorization of 14541

Prime factors of 14541 are 3, 37, 131. Prime factorization of 14541 in exponential form is:

14541 = 3¹ × 37¹ × 131¹

Step-3: Factors of 14526

List of positive integer factors of 14526 that divides 14526 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 269, 538, 807, 1614, 2421, 4842, 7263

Step-4: Factors of 14541

List of positive integer factors of 14541 that divides 14526 without a remainder.

1, 3, 37, 111, 131, 393, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14526 and 14541. The biggest common factor number is the GCF number.
So the greatest common factor 14526 and 14541 is 3.

Also check out the Least Common Multiple of 14526 and 14541