What is the Greatest Common Factor of 14849 and 14863?

Greatest common factor (GCF) of 14849 and 14863 is 1.

GCF(14849,14863) = 1

We will now calculate the prime factors of 14849 and 14863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14849 and 14863.

How to find the GCF of 14849 and 14863?

We will first find the prime factorization of 14849 and 14863. After we will calculate the factors of 14849 and 14863 and find the biggest common factor number .

Step-1: Prime Factorization of 14849

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

14849 = 31¹ × 479¹

Step-2: Prime Factorization of 14863

Prime factors of 14863 are 89, 167. Prime factorization of 14863 in exponential form is:

14863 = 89¹ × 167¹

Step-3: Factors of 14849

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

1, 31, 479

Step-4: Factors of 14863

List of positive integer factors of 14863 that divides 14849 without a remainder.

1, 89, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14849 and 14863. The biggest common factor number is the GCF number.
So the greatest common factor 14849 and 14863 is 1.

Also check out the Least Common Multiple of 14849 and 14863