What is the Greatest Common Factor of 909 and 914?

Greatest common factor (GCF) of 909 and 914 is 1.

GCF(909,914) = 1

We will now calculate the prime factors of 909 and 914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 909 and 914.

How to find the GCF of 909 and 914?

We will first find the prime factorization of 909 and 914. After we will calculate the factors of 909 and 914 and find the biggest common factor number .

Step-1: Prime Factorization of 909

Prime factors of 909 are 3, 101. Prime factorization of 909 in exponential form is:

909 = 3² × 101¹

Step-2: Prime Factorization of 914

Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:

914 = 2¹ × 457¹

Step-3: Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303

Step-4: Factors of 914

List of positive integer factors of 914 that divides 909 without a remainder.

1, 2, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 909 and 914. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 914 is 1.

Also check out the Least Common Multiple of 909 and 914