What is the Greatest Common Factor of 14838 and 14854?

Greatest common factor (GCF) of 14838 and 14854 is 2.

GCF(14838,14854) = 2

We will now calculate the prime factors of 14838 and 14854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14838 and 14854.

How to find the GCF of 14838 and 14854?

We will first find the prime factorization of 14838 and 14854. After we will calculate the factors of 14838 and 14854 and find the biggest common factor number .

Step-1: Prime Factorization of 14838

Prime factors of 14838 are 2, 3, 2473. Prime factorization of 14838 in exponential form is:

14838 = 2¹ × 3¹ × 2473¹

Step-2: 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-3: Factors of 14838

List of positive integer factors of 14838 that divides 14838 without a remainder.

1, 2, 3, 6, 2473, 4946, 7419

Step-4: Factors of 14854

List of positive integer factors of 14854 that divides 14838 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14838 and 14854. The biggest common factor number is the GCF number.
So the greatest common factor 14838 and 14854 is 2.

Also check out the Least Common Multiple of 14838 and 14854