What is the Greatest Common Factor of 52168 and 52184?

Greatest common factor (GCF) of 52168 and 52184 is 8.

GCF(52168,52184) = 8

We will now calculate the prime factors of 52168 and 52184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52168 and 52184.

How to find the GCF of 52168 and 52184?

We will first find the prime factorization of 52168 and 52184. After we will calculate the factors of 52168 and 52184 and find the biggest common factor number .

Step-1: Prime Factorization of 52168

Prime factors of 52168 are 2, 6521. Prime factorization of 52168 in exponential form is:

52168 = 2³ × 6521¹

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 52168

List of positive integer factors of 52168 that divides 52168 without a remainder.

1, 2, 4, 8, 6521, 13042, 26084

Step-4: Factors of 52184

List of positive integer factors of 52184 that divides 52168 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 52168 and 52184. The biggest common factor number is the GCF number.
So the greatest common factor 52168 and 52184 is 8.

Also check out the Least Common Multiple of 52168 and 52184