What is the Greatest Common Factor of 52173 and 52184?

Greatest common factor (GCF) of 52173 and 52184 is 11.

GCF(52173,52184) = 11

We will now calculate the prime factors of 52173 and 52184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52173 and 52184.

How to find the GCF of 52173 and 52184?

We will first find the prime factorization of 52173 and 52184. After we will calculate the factors of 52173 and 52184 and find the biggest common factor number .

Step-1: Prime Factorization of 52173

Prime factors of 52173 are 3, 11, 17, 31. Prime factorization of 52173 in exponential form is:

52173 = 3² × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 52184

Prime factors of 52184 are 2, 11, 593. Prime factorization of 52184 in exponential form is:

52184 = 2³ × 11¹ × 593¹

Step-3: Factors of 52173

List of positive integer factors of 52173 that divides 52173 without a remainder.

1, 3, 9, 11, 17, 31, 33, 51, 93, 99, 153, 187, 279, 341, 527, 561, 1023, 1581, 1683, 3069, 4743, 5797, 17391

Step-4: Factors of 52184

List of positive integer factors of 52184 that divides 52173 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 593, 1186, 2372, 4744, 6523, 13046, 26092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52173 and 52184. The biggest common factor number is the GCF number.
So the greatest common factor 52173 and 52184 is 11.

Also check out the Least Common Multiple of 52173 and 52184