What is the Greatest Common Factor of 15849 and 15862?

Greatest common factor (GCF) of 15849 and 15862 is 1.

GCF(15849,15862) = 1

We will now calculate the prime factors of 15849 and 15862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15849 and 15862.

How to find the GCF of 15849 and 15862?

We will first find the prime factorization of 15849 and 15862. After we will calculate the factors of 15849 and 15862 and find the biggest common factor number .

Step-1: Prime Factorization of 15849

Prime factors of 15849 are 3, 587. Prime factorization of 15849 in exponential form is:

15849 = 3³ × 587¹

Step-2: Prime Factorization of 15862

Prime factors of 15862 are 2, 7, 11, 103. Prime factorization of 15862 in exponential form is:

15862 = 2¹ × 7¹ × 11¹ × 103¹

Step-3: Factors of 15849

List of positive integer factors of 15849 that divides 15849 without a remainder.

1, 3, 9, 27, 587, 1761, 5283

Step-4: Factors of 15862

List of positive integer factors of 15862 that divides 15849 without a remainder.

1, 2, 7, 11, 14, 22, 77, 103, 154, 206, 721, 1133, 1442, 2266, 7931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15849 and 15862. The biggest common factor number is the GCF number.
So the greatest common factor 15849 and 15862 is 1.

Also check out the Least Common Multiple of 15849 and 15862