What is the Greatest Common Factor of 14837 and 14849?

Greatest common factor (GCF) of 14837 and 14849 is 1.

GCF(14837,14849) = 1

We will now calculate the prime factors of 14837 and 14849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14837 and 14849.

How to find the GCF of 14837 and 14849?

We will first find the prime factorization of 14837 and 14849. After we will calculate the factors of 14837 and 14849 and find the biggest common factor number .

Step-1: Prime Factorization of 14837

Prime factors of 14837 are 37, 401. Prime factorization of 14837 in exponential form is:

14837 = 37¹ × 401¹

Step-2: Prime Factorization of 14849

Prime factors of 14849 are 31, 479. Prime factorization of 14849 in exponential form is:

14849 = 31¹ × 479¹

Step-3: Factors of 14837

List of positive integer factors of 14837 that divides 14837 without a remainder.

1, 37, 401

Step-4: Factors of 14849

List of positive integer factors of 14849 that divides 14837 without a remainder.

1, 31, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14837 and 14849. The biggest common factor number is the GCF number.
So the greatest common factor 14837 and 14849 is 1.

Also check out the Least Common Multiple of 14837 and 14849