What is the Greatest Common Factor of 42854 and 42858?

Greatest common factor (GCF) of 42854 and 42858 is 2.

GCF(42854,42858) = 2

We will now calculate the prime factors of 42854 and 42858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42854 and 42858.

How to find the GCF of 42854 and 42858?

We will first find the prime factorization of 42854 and 42858. After we will calculate the factors of 42854 and 42858 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 42858

Prime factors of 42858 are 2, 3, 2381. Prime factorization of 42858 in exponential form is:

42858 = 2¹ × 3² × 2381¹

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 42858

List of positive integer factors of 42858 that divides 42854 without a remainder.

1, 2, 3, 6, 9, 18, 2381, 4762, 7143, 14286, 21429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42854 and 42858. The biggest common factor number is the GCF number.
So the greatest common factor 42854 and 42858 is 2.

Also check out the Least Common Multiple of 42854 and 42858