What is the Greatest Common Factor of 35184 and 35189?

Greatest common factor (GCF) of 35184 and 35189 is 1.

GCF(35184,35189) = 1

We will now calculate the prime factors of 35184 and 35189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35184 and 35189.

How to find the GCF of 35184 and 35189?

We will first find the prime factorization of 35184 and 35189. After we will calculate the factors of 35184 and 35189 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 35189

Prime factors of 35189 are 7, 11, 457. Prime factorization of 35189 in exponential form is:

35189 = 7¹ × 11¹ × 457¹

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 35189

List of positive integer factors of 35189 that divides 35184 without a remainder.

1, 7, 11, 77, 457, 3199, 5027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35184 and 35189. The biggest common factor number is the GCF number.
So the greatest common factor 35184 and 35189 is 1.

Also check out the Least Common Multiple of 35184 and 35189