What is the Greatest Common Factor of 42834 and 42854?

Greatest common factor (GCF) of 42834 and 42854 is 2.

GCF(42834,42854) = 2

We will now calculate the prime factors of 42834 and 42854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42834 and 42854.

How to find the GCF of 42834 and 42854?

We will first find the prime factorization of 42834 and 42854. After we will calculate the factors of 42834 and 42854 and find the biggest common factor number .

Step-1: Prime Factorization of 42834

Prime factors of 42834 are 2, 3, 11, 59. Prime factorization of 42834 in exponential form is:

42834 = 2¹ × 3¹ × 11² × 59¹

Step-2: 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-3: Factors of 42834

List of positive integer factors of 42834 that divides 42834 without a remainder.

1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 121, 177, 242, 354, 363, 649, 726, 1298, 1947, 3894, 7139, 14278, 21417

Step-4: Factors of 42854

List of positive integer factors of 42854 that divides 42834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42834 and 42854. The biggest common factor number is the GCF number.
So the greatest common factor 42834 and 42854 is 2.

Also check out the Least Common Multiple of 42834 and 42854