What is the Greatest Common Factor of 909 and 929?

Greatest common factor (GCF) of 909 and 929 is 1.

GCF(909,929) = 1

We will now calculate the prime factors of 909 and 929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 909 and 929.

How to find the GCF of 909 and 929?

We will first find the prime factorization of 909 and 929. After we will calculate the factors of 909 and 929 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 929

Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:

929 = 929¹

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 929

List of positive integer factors of 929 that divides 909 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 909 and 929. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 929 is 1.

Also check out the Least Common Multiple of 909 and 929