What is the Greatest Common Factor of 13846 and 13853?

Greatest common factor (GCF) of 13846 and 13853 is 7.

GCF(13846,13853) = 7

We will now calculate the prime factors of 13846 and 13853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13846 and 13853.

How to find the GCF of 13846 and 13853?

We will first find the prime factorization of 13846 and 13853. After we will calculate the factors of 13846 and 13853 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 13853

Prime factors of 13853 are 7, 1979. Prime factorization of 13853 in exponential form is:

13853 = 7¹ × 1979¹

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 13853

List of positive integer factors of 13853 that divides 13846 without a remainder.

1, 7, 1979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13846 and 13853. The biggest common factor number is the GCF number.
So the greatest common factor 13846 and 13853 is 7.

Also check out the Least Common Multiple of 13846 and 13853