What is the Greatest Common Factor of 14849 and 14869?

Greatest common factor (GCF) of 14849 and 14869 is 1.

GCF(14849,14869) = 1

We will now calculate the prime factors of 14849 and 14869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14849 and 14869.

How to find the GCF of 14849 and 14869?

We will first find the prime factorization of 14849 and 14869. After we will calculate the factors of 14849 and 14869 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 14869

Prime factors of 14869 are 14869. Prime factorization of 14869 in exponential form is:

14869 = 14869¹

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 14869

List of positive integer factors of 14869 that divides 14849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14849 and 14869. The biggest common factor number is the GCF number.
So the greatest common factor 14849 and 14869 is 1.

Also check out the Least Common Multiple of 14849 and 14869