What is the Greatest Common Factor of 42854 and 42870?

Greatest common factor (GCF) of 42854 and 42870 is 2.

GCF(42854,42870) = 2

We will now calculate the prime factors of 42854 and 42870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42854 and 42870.

How to find the GCF of 42854 and 42870?

We will first find the prime factorization of 42854 and 42870. After we will calculate the factors of 42854 and 42870 and find the biggest common factor number .

Step-1: Prime Factorization of 42854

Prime factors of 42854 are 2, 7, 3061. Prime factorization of 42854 in exponential form is:

42854 = 2¹ × 7¹ × 3061¹

Step-2: Prime Factorization of 42870

Prime factors of 42870 are 2, 3, 5, 1429. Prime factorization of 42870 in exponential form is:

42870 = 2¹ × 3¹ × 5¹ × 1429¹

Step-3: Factors of 42854

List of positive integer factors of 42854 that divides 42854 without a remainder.

1, 2, 7, 14, 3061, 6122, 21427

Step-4: Factors of 42870

List of positive integer factors of 42870 that divides 42854 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1429, 2858, 4287, 7145, 8574, 14290, 21435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42854 and 42870. The biggest common factor number is the GCF number.
So the greatest common factor 42854 and 42870 is 2.

Also check out the Least Common Multiple of 42854 and 42870