What is the Greatest Common Factor of 42909 and 42914?

Greatest common factor (GCF) of 42909 and 42914 is 1.

GCF(42909,42914) = 1

We will now calculate the prime factors of 42909 and 42914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42909 and 42914.

How to find the GCF of 42909 and 42914?

We will first find the prime factorization of 42909 and 42914. After we will calculate the factors of 42909 and 42914 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 42914

Prime factors of 42914 are 2, 43, 499. Prime factorization of 42914 in exponential form is:

42914 = 2¹ × 43¹ × 499¹

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 42914

List of positive integer factors of 42914 that divides 42909 without a remainder.

1, 2, 43, 86, 499, 998, 21457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42909 and 42914. The biggest common factor number is the GCF number.
So the greatest common factor 42909 and 42914 is 1.

Also check out the Least Common Multiple of 42909 and 42914