What is the Greatest Common Factor of 52160 and 52168?

Greatest common factor (GCF) of 52160 and 52168 is 8.

GCF(52160,52168) = 8

We will now calculate the prime factors of 52160 and 52168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52160 and 52168.

How to find the GCF of 52160 and 52168?

We will first find the prime factorization of 52160 and 52168. After we will calculate the factors of 52160 and 52168 and find the biggest common factor number .

Step-1: Prime Factorization of 52160

Prime factors of 52160 are 2, 5, 163. Prime factorization of 52160 in exponential form is:

52160 = 2⁶ × 5¹ × 163¹

Step-2: Prime Factorization of 52168

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

52168 = 2³ × 6521¹

Step-3: Factors of 52160

List of positive integer factors of 52160 that divides 52160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 163, 320, 326, 652, 815, 1304, 1630, 2608, 3260, 5216, 6520, 10432, 13040, 26080

Step-4: Factors of 52168

List of positive integer factors of 52168 that divides 52160 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52160 and 52168. The biggest common factor number is the GCF number.
So the greatest common factor 52160 and 52168 is 8.

Also check out the Least Common Multiple of 52160 and 52168