What is the Greatest Common Factor of 83174 and 83184?

Greatest common factor (GCF) of 83174 and 83184 is 2.

GCF(83174,83184) = 2

We will now calculate the prime factors of 83174 and 83184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83174 and 83184.

How to find the GCF of 83174 and 83184?

We will first find the prime factorization of 83174 and 83184. After we will calculate the factors of 83174 and 83184 and find the biggest common factor number .

Step-1: Prime Factorization of 83174

Prime factors of 83174 are 2, 7, 13, 457. Prime factorization of 83174 in exponential form is:

83174 = 2¹ × 7¹ × 13¹ × 457¹

Step-2: Prime Factorization of 83184

Prime factors of 83184 are 2, 3, 1733. Prime factorization of 83184 in exponential form is:

83184 = 2⁴ × 3¹ × 1733¹

Step-3: Factors of 83174

List of positive integer factors of 83174 that divides 83174 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 457, 914, 3199, 5941, 6398, 11882, 41587

Step-4: Factors of 83184

List of positive integer factors of 83184 that divides 83174 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1733, 3466, 5199, 6932, 10398, 13864, 20796, 27728, 41592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83174 and 83184. The biggest common factor number is the GCF number.
So the greatest common factor 83174 and 83184 is 2.

Also check out the Least Common Multiple of 83174 and 83184