What is the Greatest Common Factor of 14854 and 14867?

Greatest common factor (GCF) of 14854 and 14867 is 1.

GCF(14854,14867) = 1

We will now calculate the prime factors of 14854 and 14867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14854 and 14867.

How to find the GCF of 14854 and 14867?

We will first find the prime factorization of 14854 and 14867. After we will calculate the factors of 14854 and 14867 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 14867

Prime factors of 14867 are 14867. Prime factorization of 14867 in exponential form is:

14867 = 14867¹

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 14867

List of positive integer factors of 14867 that divides 14854 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14854 and 14867. The biggest common factor number is the GCF number.
So the greatest common factor 14854 and 14867 is 1.

Also check out the Least Common Multiple of 14854 and 14867