What is the Greatest Common Factor of 16549 and 16562?

Greatest common factor (GCF) of 16549 and 16562 is 13.

GCF(16549,16562) = 13

We will now calculate the prime factors of 16549 and 16562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16549 and 16562.

How to find the GCF of 16549 and 16562?

We will first find the prime factorization of 16549 and 16562. After we will calculate the factors of 16549 and 16562 and find the biggest common factor number .

Step-1: Prime Factorization of 16549

Prime factors of 16549 are 13, 19, 67. Prime factorization of 16549 in exponential form is:

16549 = 13¹ × 19¹ × 67¹

Step-2: Prime Factorization of 16562

Prime factors of 16562 are 2, 7, 13. Prime factorization of 16562 in exponential form is:

16562 = 2¹ × 7² × 13²

Step-3: Factors of 16549

List of positive integer factors of 16549 that divides 16549 without a remainder.

1, 13, 19, 67, 247, 871, 1273

Step-4: Factors of 16562

List of positive integer factors of 16562 that divides 16549 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 169, 182, 338, 637, 1183, 1274, 2366, 8281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16549 and 16562. The biggest common factor number is the GCF number.
So the greatest common factor 16549 and 16562 is 13.

Also check out the Least Common Multiple of 16549 and 16562