What is the Greatest Common Factor of 1917 and 1935?

Greatest common factor (GCF) of 1917 and 1935 is 9.

GCF(1917,1935) = 9

We will now calculate the prime factors of 1917 and 1935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1917 and 1935.

How to find the GCF of 1917 and 1935?

We will first find the prime factorization of 1917 and 1935. After we will calculate the factors of 1917 and 1935 and find the biggest common factor number .

Step-1: Prime Factorization of 1917

Prime factors of 1917 are 3, 71. Prime factorization of 1917 in exponential form is:

1917 = 3³ × 71¹

Step-2: Prime Factorization of 1935

Prime factors of 1935 are 3, 5, 43. Prime factorization of 1935 in exponential form is:

1935 = 3² × 5¹ × 43¹

Step-3: Factors of 1917

List of positive integer factors of 1917 that divides 1917 without a remainder.

1, 3, 9, 27, 71, 213, 639

Step-4: Factors of 1935

List of positive integer factors of 1935 that divides 1917 without a remainder.

1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1917 and 1935. The biggest common factor number is the GCF number.
So the greatest common factor 1917 and 1935 is 9.

Also check out the Least Common Multiple of 1917 and 1935