What is the Greatest Common Factor of 35184 and 35191?

Greatest common factor (GCF) of 35184 and 35191 is 1.

GCF(35184,35191) = 1

We will now calculate the prime factors of 35184 and 35191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35184 and 35191.

How to find the GCF of 35184 and 35191?

We will first find the prime factorization of 35184 and 35191. After we will calculate the factors of 35184 and 35191 and find the biggest common factor number .

Step-1: Prime Factorization of 35184

Prime factors of 35184 are 2, 3, 733. Prime factorization of 35184 in exponential form is:

35184 = 2⁴ × 3¹ × 733¹

Step-2: Prime Factorization of 35191

Prime factors of 35191 are 13, 2707. Prime factorization of 35191 in exponential form is:

35191 = 13¹ × 2707¹

Step-3: Factors of 35184

List of positive integer factors of 35184 that divides 35184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 733, 1466, 2199, 2932, 4398, 5864, 8796, 11728, 17592

Step-4: Factors of 35191

List of positive integer factors of 35191 that divides 35184 without a remainder.

1, 13, 2707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35184 and 35191. The biggest common factor number is the GCF number.
So the greatest common factor 35184 and 35191 is 1.

Also check out the Least Common Multiple of 35184 and 35191