What is the Greatest Common Factor of 14838 and 14857?

Greatest common factor (GCF) of 14838 and 14857 is 1.

GCF(14838,14857) = 1

We will now calculate the prime factors of 14838 and 14857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14838 and 14857.

How to find the GCF of 14838 and 14857?

We will first find the prime factorization of 14838 and 14857. After we will calculate the factors of 14838 and 14857 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 14857

Prime factors of 14857 are 83, 179. Prime factorization of 14857 in exponential form is:

14857 = 83¹ × 179¹

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 14857

List of positive integer factors of 14857 that divides 14838 without a remainder.

1, 83, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14838 and 14857. The biggest common factor number is the GCF number.
So the greatest common factor 14838 and 14857 is 1.

Also check out the Least Common Multiple of 14838 and 14857