What is the Greatest Common Factor of 52168 and 52174?

Greatest common factor (GCF) of 52168 and 52174 is 2.

GCF(52168,52174) = 2

We will now calculate the prime factors of 52168 and 52174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52168 and 52174.

How to find the GCF of 52168 and 52174?

We will first find the prime factorization of 52168 and 52174. After we will calculate the factors of 52168 and 52174 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 52174

Prime factors of 52174 are 2, 19, 1373. Prime factorization of 52174 in exponential form is:

52174 = 2¹ × 19¹ × 1373¹

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 52174

List of positive integer factors of 52174 that divides 52168 without a remainder.

1, 2, 19, 38, 1373, 2746, 26087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52168 and 52174. The biggest common factor number is the GCF number.
So the greatest common factor 52168 and 52174 is 2.

Also check out the Least Common Multiple of 52168 and 52174