What is the Greatest Common Factor of 28174 and 28184?

Greatest common factor (GCF) of 28174 and 28184 is 2.

GCF(28174,28184) = 2

We will now calculate the prime factors of 28174 and 28184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28174 and 28184.

How to find the GCF of 28174 and 28184?

We will first find the prime factorization of 28174 and 28184. After we will calculate the factors of 28174 and 28184 and find the biggest common factor number .

Step-1: Prime Factorization of 28174

Prime factors of 28174 are 2, 14087. Prime factorization of 28174 in exponential form is:

28174 = 2¹ × 14087¹

Step-2: Prime Factorization of 28184

Prime factors of 28184 are 2, 13, 271. Prime factorization of 28184 in exponential form is:

28184 = 2³ × 13¹ × 271¹

Step-3: Factors of 28174

List of positive integer factors of 28174 that divides 28174 without a remainder.

1, 2, 14087

Step-4: Factors of 28184

List of positive integer factors of 28184 that divides 28174 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 271, 542, 1084, 2168, 3523, 7046, 14092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28174 and 28184. The biggest common factor number is the GCF number.
So the greatest common factor 28174 and 28184 is 2.

Also check out the Least Common Multiple of 28174 and 28184