What is the Greatest Common Factor of 14857 and 14874?

Greatest common factor (GCF) of 14857 and 14874 is 1.

GCF(14857,14874) = 1

We will now calculate the prime factors of 14857 and 14874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14857 and 14874.

How to find the GCF of 14857 and 14874?

We will first find the prime factorization of 14857 and 14874. After we will calculate the factors of 14857 and 14874 and find the biggest common factor number .

Step-1: Prime Factorization of 14857

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

14857 = 83¹ × 179¹

Step-2: Prime Factorization of 14874

Prime factors of 14874 are 2, 3, 37, 67. Prime factorization of 14874 in exponential form is:

14874 = 2¹ × 3¹ × 37¹ × 67¹

Step-3: Factors of 14857

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

1, 83, 179

Step-4: Factors of 14874

List of positive integer factors of 14874 that divides 14857 without a remainder.

1, 2, 3, 6, 37, 67, 74, 111, 134, 201, 222, 402, 2479, 4958, 7437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14857 and 14874. The biggest common factor number is the GCF number.
So the greatest common factor 14857 and 14874 is 1.

Also check out the Least Common Multiple of 14857 and 14874