What is the Greatest Common Factor of 15842 and 15854?

Greatest common factor (GCF) of 15842 and 15854 is 2.

GCF(15842,15854) = 2

We will now calculate the prime factors of 15842 and 15854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15842 and 15854.

How to find the GCF of 15842 and 15854?

We will first find the prime factorization of 15842 and 15854. After we will calculate the factors of 15842 and 15854 and find the biggest common factor number .

Step-1: Prime Factorization of 15842

Prime factors of 15842 are 2, 89. Prime factorization of 15842 in exponential form is:

15842 = 2¹ × 89²

Step-2: Prime Factorization of 15854

Prime factors of 15854 are 2, 7927. Prime factorization of 15854 in exponential form is:

15854 = 2¹ × 7927¹

Step-3: Factors of 15842

List of positive integer factors of 15842 that divides 15842 without a remainder.

1, 2, 89, 178, 7921

Step-4: Factors of 15854

List of positive integer factors of 15854 that divides 15842 without a remainder.

1, 2, 7927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15842 and 15854. The biggest common factor number is the GCF number.
So the greatest common factor 15842 and 15854 is 2.

Also check out the Least Common Multiple of 15842 and 15854