What is the Greatest Common Factor of 15447 and 15466?

Greatest common factor (GCF) of 15447 and 15466 is 19.

GCF(15447,15466) = 19

We will now calculate the prime factors of 15447 and 15466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15447 and 15466.

How to find the GCF of 15447 and 15466?

We will first find the prime factorization of 15447 and 15466. After we will calculate the factors of 15447 and 15466 and find the biggest common factor number .

Step-1: Prime Factorization of 15447

Prime factors of 15447 are 3, 19, 271. Prime factorization of 15447 in exponential form is:

15447 = 3¹ × 19¹ × 271¹

Step-2: Prime Factorization of 15466

Prime factors of 15466 are 2, 11, 19, 37. Prime factorization of 15466 in exponential form is:

15466 = 2¹ × 11¹ × 19¹ × 37¹

Step-3: Factors of 15447

List of positive integer factors of 15447 that divides 15447 without a remainder.

1, 3, 19, 57, 271, 813, 5149

Step-4: Factors of 15466

List of positive integer factors of 15466 that divides 15447 without a remainder.

1, 2, 11, 19, 22, 37, 38, 74, 209, 407, 418, 703, 814, 1406, 7733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15447 and 15466. The biggest common factor number is the GCF number.
So the greatest common factor 15447 and 15466 is 19.

Also check out the Least Common Multiple of 15447 and 15466