What is the Greatest Common Factor of 52160 and 52175?

Greatest common factor (GCF) of 52160 and 52175 is 5.

GCF(52160,52175) = 5

We will now calculate the prime factors of 52160 and 52175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52160 and 52175.

How to find the GCF of 52160 and 52175?

We will first find the prime factorization of 52160 and 52175. After we will calculate the factors of 52160 and 52175 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 52175

Prime factors of 52175 are 5, 2087. Prime factorization of 52175 in exponential form is:

52175 = 5² × 2087¹

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 52175

List of positive integer factors of 52175 that divides 52160 without a remainder.

1, 5, 25, 2087, 10435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52160 and 52175. The biggest common factor number is the GCF number.
So the greatest common factor 52160 and 52175 is 5.

Also check out the Least Common Multiple of 52160 and 52175