What is the Greatest Common Factor of 15851 and 15862?

Greatest common factor (GCF) of 15851 and 15862 is 11.

GCF(15851,15862) = 11

We will now calculate the prime factors of 15851 and 15862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15851 and 15862.

How to find the GCF of 15851 and 15862?

We will first find the prime factorization of 15851 and 15862. After we will calculate the factors of 15851 and 15862 and find the biggest common factor number .

Step-1: Prime Factorization of 15851

Prime factors of 15851 are 11, 131. Prime factorization of 15851 in exponential form is:

15851 = 11² × 131¹

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 15851

List of positive integer factors of 15851 that divides 15851 without a remainder.

1, 11, 121, 131, 1441

Step-4: Factors of 15862

List of positive integer factors of 15862 that divides 15851 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 15851 and 15862. The biggest common factor number is the GCF number.
So the greatest common factor 15851 and 15862 is 11.

Also check out the Least Common Multiple of 15851 and 15862