What is the Greatest Common Factor of 42874 and 42887?

Greatest common factor (GCF) of 42874 and 42887 is 13.

GCF(42874,42887) = 13

We will now calculate the prime factors of 42874 and 42887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42874 and 42887.

How to find the GCF of 42874 and 42887?

We will first find the prime factorization of 42874 and 42887. After we will calculate the factors of 42874 and 42887 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42887

Prime factors of 42887 are 13, 3299. Prime factorization of 42887 in exponential form is:

42887 = 13¹ × 3299¹

Step-3: Factors of 42874

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

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

Step-4: Factors of 42887

List of positive integer factors of 42887 that divides 42874 without a remainder.

1, 13, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42874 and 42887. The biggest common factor number is the GCF number.
So the greatest common factor 42874 and 42887 is 13.

Also check out the Least Common Multiple of 42874 and 42887