What is the Greatest Common Factor of 42891 and 42909?

Greatest common factor (GCF) of 42891 and 42909 is 3.

GCF(42891,42909) = 3

We will now calculate the prime factors of 42891 and 42909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42891 and 42909.

How to find the GCF of 42891 and 42909?

We will first find the prime factorization of 42891 and 42909. After we will calculate the factors of 42891 and 42909 and find the biggest common factor number .

Step-1: Prime Factorization of 42891

Prime factors of 42891 are 3, 17, 29. Prime factorization of 42891 in exponential form is:

42891 = 3¹ × 17¹ × 29²

Step-2: Prime Factorization of 42909

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

42909 = 3¹ × 14303¹

Step-3: Factors of 42891

List of positive integer factors of 42891 that divides 42891 without a remainder.

1, 3, 17, 29, 51, 87, 493, 841, 1479, 2523, 14297

Step-4: Factors of 42909

List of positive integer factors of 42909 that divides 42891 without a remainder.

1, 3, 14303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42891 and 42909. The biggest common factor number is the GCF number.
So the greatest common factor 42891 and 42909 is 3.

Also check out the Least Common Multiple of 42891 and 42909