What is the Greatest Common Factor of 15862 and 15879?

Greatest common factor (GCF) of 15862 and 15879 is 1.

GCF(15862,15879) = 1

We will now calculate the prime factors of 15862 and 15879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15862 and 15879.

How to find the GCF of 15862 and 15879?

We will first find the prime factorization of 15862 and 15879. After we will calculate the factors of 15862 and 15879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15879

Prime factors of 15879 are 3, 67, 79. Prime factorization of 15879 in exponential form is:

15879 = 3¹ × 67¹ × 79¹

Step-3: Factors of 15862

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

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

Step-4: Factors of 15879

List of positive integer factors of 15879 that divides 15862 without a remainder.

1, 3, 67, 79, 201, 237, 5293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15862 and 15879. The biggest common factor number is the GCF number.
So the greatest common factor 15862 and 15879 is 1.

Also check out the Least Common Multiple of 15862 and 15879