What is the Greatest Common Factor of 14854 and 14871?

Greatest common factor (GCF) of 14854 and 14871 is 1.

GCF(14854,14871) = 1

We will now calculate the prime factors of 14854 and 14871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14854 and 14871.

How to find the GCF of 14854 and 14871?

We will first find the prime factorization of 14854 and 14871. After we will calculate the factors of 14854 and 14871 and find the biggest common factor number .

Step-1: Prime Factorization of 14854

Prime factors of 14854 are 2, 7, 1061. Prime factorization of 14854 in exponential form is:

14854 = 2¹ × 7¹ × 1061¹

Step-2: Prime Factorization of 14871

Prime factors of 14871 are 3, 4957. Prime factorization of 14871 in exponential form is:

14871 = 3¹ × 4957¹

Step-3: Factors of 14854

List of positive integer factors of 14854 that divides 14854 without a remainder.

1, 2, 7, 14, 1061, 2122, 7427

Step-4: Factors of 14871

List of positive integer factors of 14871 that divides 14854 without a remainder.

1, 3, 4957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14854 and 14871. The biggest common factor number is the GCF number.
So the greatest common factor 14854 and 14871 is 1.

Also check out the Least Common Multiple of 14854 and 14871