What is the Greatest Common Factor of 909 and 926?

Greatest common factor (GCF) of 909 and 926 is 1.

GCF(909,926) = 1

We will now calculate the prime factors of 909 and 926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 909 and 926.

How to find the GCF of 909 and 926?

We will first find the prime factorization of 909 and 926. After we will calculate the factors of 909 and 926 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 926

Prime factors of 926 are 2, 463. Prime factorization of 926 in exponential form is:

926 = 2¹ × 463¹

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 926

List of positive integer factors of 926 that divides 909 without a remainder.

1, 2, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 909 and 926. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 926 is 1.

Also check out the Least Common Multiple of 909 and 926