What is the Greatest Common Factor of 42814 and 42834?

Greatest common factor (GCF) of 42814 and 42834 is 2.

GCF(42814,42834) = 2

We will now calculate the prime factors of 42814 and 42834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42814 and 42834.

How to find the GCF of 42814 and 42834?

We will first find the prime factorization of 42814 and 42834. After we will calculate the factors of 42814 and 42834 and find the biggest common factor number .

Step-1: Prime Factorization of 42814

Prime factors of 42814 are 2, 21407. Prime factorization of 42814 in exponential form is:

42814 = 2¹ × 21407¹

Step-2: 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-3: Factors of 42814

List of positive integer factors of 42814 that divides 42814 without a remainder.

1, 2, 21407

Step-4: Factors of 42834

List of positive integer factors of 42834 that divides 42814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42814 and 42834. The biggest common factor number is the GCF number.
So the greatest common factor 42814 and 42834 is 2.

Also check out the Least Common Multiple of 42814 and 42834