What is the Greatest Common Factor of 901 and 918?

Greatest common factor (GCF) of 901 and 918 is 17.

GCF(901,918) = 17

We will now calculate the prime factors of 901 and 918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 901 and 918.

How to find the GCF of 901 and 918?

We will first find the prime factorization of 901 and 918. After we will calculate the factors of 901 and 918 and find the biggest common factor number .

Step-1: Prime Factorization of 901

Prime factors of 901 are 17, 53. Prime factorization of 901 in exponential form is:

901 = 17¹ × 53¹

Step-2: Prime Factorization of 918

Prime factors of 918 are 2, 3, 17. Prime factorization of 918 in exponential form is:

918 = 2¹ × 3³ × 17¹

Step-3: Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53

Step-4: Factors of 918

List of positive integer factors of 918 that divides 901 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 901 and 918. The biggest common factor number is the GCF number.
So the greatest common factor 901 and 918 is 17.

Also check out the Least Common Multiple of 901 and 918