What is the Greatest Common Factor of 13846 and 13854?

Greatest common factor (GCF) of 13846 and 13854 is 2.

GCF(13846,13854) = 2

We will now calculate the prime factors of 13846 and 13854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13846 and 13854.

How to find the GCF of 13846 and 13854?

We will first find the prime factorization of 13846 and 13854. After we will calculate the factors of 13846 and 13854 and find the biggest common factor number .

Step-1: Prime Factorization of 13846

Prime factors of 13846 are 2, 7, 23, 43. Prime factorization of 13846 in exponential form is:

13846 = 2¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 13854

Prime factors of 13854 are 2, 3, 2309. Prime factorization of 13854 in exponential form is:

13854 = 2¹ × 3¹ × 2309¹

Step-3: Factors of 13846

List of positive integer factors of 13846 that divides 13846 without a remainder.

1, 2, 7, 14, 23, 43, 46, 86, 161, 301, 322, 602, 989, 1978, 6923

Step-4: Factors of 13854

List of positive integer factors of 13854 that divides 13846 without a remainder.

1, 2, 3, 6, 2309, 4618, 6927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13846 and 13854. The biggest common factor number is the GCF number.
So the greatest common factor 13846 and 13854 is 2.

Also check out the Least Common Multiple of 13846 and 13854