What is the Greatest Common Factor of 13828 and 13846?

Greatest common factor (GCF) of 13828 and 13846 is 2.

GCF(13828,13846) = 2

We will now calculate the prime factors of 13828 and 13846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13828 and 13846.

How to find the GCF of 13828 and 13846?

We will first find the prime factorization of 13828 and 13846. After we will calculate the factors of 13828 and 13846 and find the biggest common factor number .

Step-1: Prime Factorization of 13828

Prime factors of 13828 are 2, 3457. Prime factorization of 13828 in exponential form is:

13828 = 2² × 3457¹

Step-2: 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-3: Factors of 13828

List of positive integer factors of 13828 that divides 13828 without a remainder.

1, 2, 4, 3457, 6914

Step-4: Factors of 13846

List of positive integer factors of 13846 that divides 13828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13828 and 13846. The biggest common factor number is the GCF number.
So the greatest common factor 13828 and 13846 is 2.

Also check out the Least Common Multiple of 13828 and 13846