What is the Greatest Common Factor of 42814 and 42827?

Greatest common factor (GCF) of 42814 and 42827 is 1.

GCF(42814,42827) = 1

We will now calculate the prime factors of 42814 and 42827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42814 and 42827.

How to find the GCF of 42814 and 42827?

We will first find the prime factorization of 42814 and 42827. After we will calculate the factors of 42814 and 42827 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 42827

Prime factors of 42827 are 113, 379. Prime factorization of 42827 in exponential form is:

42827 = 113¹ × 379¹

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 42827

List of positive integer factors of 42827 that divides 42814 without a remainder.

1, 113, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42814 and 42827. The biggest common factor number is the GCF number.
So the greatest common factor 42814 and 42827 is 1.

Also check out the Least Common Multiple of 42814 and 42827