What is the Greatest Common Factor of 42671 and 42678?

Greatest common factor (GCF) of 42671 and 42678 is 1.

GCF(42671,42678) = 1

We will now calculate the prime factors of 42671 and 42678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42671 and 42678.

How to find the GCF of 42671 and 42678?

We will first find the prime factorization of 42671 and 42678. After we will calculate the factors of 42671 and 42678 and find the biggest common factor number .

Step-1: Prime Factorization of 42671

Prime factors of 42671 are 71, 601. Prime factorization of 42671 in exponential form is:

42671 = 71¹ × 601¹

Step-2: Prime Factorization of 42678

Prime factors of 42678 are 2, 3, 2371. Prime factorization of 42678 in exponential form is:

42678 = 2¹ × 3² × 2371¹

Step-3: Factors of 42671

List of positive integer factors of 42671 that divides 42671 without a remainder.

1, 71, 601

Step-4: Factors of 42678

List of positive integer factors of 42678 that divides 42671 without a remainder.

1, 2, 3, 6, 9, 18, 2371, 4742, 7113, 14226, 21339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42671 and 42678. The biggest common factor number is the GCF number.
So the greatest common factor 42671 and 42678 is 1.

Also check out the Least Common Multiple of 42671 and 42678