What is the Greatest Common Factor of 14649 and 14661?

Greatest common factor (GCF) of 14649 and 14661 is 3.

GCF(14649,14661) = 3

We will now calculate the prime factors of 14649 and 14661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14649 and 14661.

How to find the GCF of 14649 and 14661?

We will first find the prime factorization of 14649 and 14661. After we will calculate the factors of 14649 and 14661 and find the biggest common factor number .

Step-1: Prime Factorization of 14649

Prime factors of 14649 are 3, 19, 257. Prime factorization of 14649 in exponential form is:

14649 = 3¹ × 19¹ × 257¹

Step-2: Prime Factorization of 14661

Prime factors of 14661 are 3, 181. Prime factorization of 14661 in exponential form is:

14661 = 3⁴ × 181¹

Step-3: Factors of 14649

List of positive integer factors of 14649 that divides 14649 without a remainder.

1, 3, 19, 57, 257, 771, 4883

Step-4: Factors of 14661

List of positive integer factors of 14661 that divides 14649 without a remainder.

1, 3, 9, 27, 81, 181, 543, 1629, 4887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14649 and 14661. The biggest common factor number is the GCF number.
So the greatest common factor 14649 and 14661 is 3.

Also check out the Least Common Multiple of 14649 and 14661