What is the Greatest Common Factor of 42857 and 42874?

Greatest common factor (GCF) of 42857 and 42874 is 17.

GCF(42857,42874) = 17

We will now calculate the prime factors of 42857 and 42874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42857 and 42874.

How to find the GCF of 42857 and 42874?

We will first find the prime factorization of 42857 and 42874. After we will calculate the factors of 42857 and 42874 and find the biggest common factor number .

Step-1: Prime Factorization of 42857

Prime factors of 42857 are 17, 2521. Prime factorization of 42857 in exponential form is:

42857 = 17¹ × 2521¹

Step-2: Prime Factorization of 42874

Prime factors of 42874 are 2, 13, 17, 97. Prime factorization of 42874 in exponential form is:

42874 = 2¹ × 13¹ × 17¹ × 97¹

Step-3: Factors of 42857

List of positive integer factors of 42857 that divides 42857 without a remainder.

1, 17, 2521

Step-4: Factors of 42874

List of positive integer factors of 42874 that divides 42857 without a remainder.

1, 2, 13, 17, 26, 34, 97, 194, 221, 442, 1261, 1649, 2522, 3298, 21437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42857 and 42874. The biggest common factor number is the GCF number.
So the greatest common factor 42857 and 42874 is 17.

Also check out the Least Common Multiple of 42857 and 42874