What is the Greatest Common Factor of 42909 and 42927?

Greatest common factor (GCF) of 42909 and 42927 is 3.

GCF(42909,42927) = 3

We will now calculate the prime factors of 42909 and 42927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42909 and 42927.

How to find the GCF of 42909 and 42927?

We will first find the prime factorization of 42909 and 42927. After we will calculate the factors of 42909 and 42927 and find the biggest common factor number .

Step-1: Prime Factorization of 42909

Prime factors of 42909 are 3, 14303. Prime factorization of 42909 in exponential form is:

42909 = 3¹ × 14303¹

Step-2: Prime Factorization of 42927

Prime factors of 42927 are 3, 41, 349. Prime factorization of 42927 in exponential form is:

42927 = 3¹ × 41¹ × 349¹

Step-3: Factors of 42909

List of positive integer factors of 42909 that divides 42909 without a remainder.

1, 3, 14303

Step-4: Factors of 42927

List of positive integer factors of 42927 that divides 42909 without a remainder.

1, 3, 41, 123, 349, 1047, 14309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42909 and 42927. The biggest common factor number is the GCF number.
So the greatest common factor 42909 and 42927 is 3.

Also check out the Least Common Multiple of 42909 and 42927