What is the Greatest Common Factor of 52175 and 52185?

Greatest common factor (GCF) of 52175 and 52185 is 5.

GCF(52175,52185) = 5

We will now calculate the prime factors of 52175 and 52185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52175 and 52185.

How to find the GCF of 52175 and 52185?

We will first find the prime factorization of 52175 and 52185. After we will calculate the factors of 52175 and 52185 and find the biggest common factor number .

Step-1: Prime Factorization of 52175

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

52175 = 5² × 2087¹

Step-2: Prime Factorization of 52185

Prime factors of 52185 are 3, 5, 7, 71. Prime factorization of 52185 in exponential form is:

52185 = 3¹ × 5¹ × 7² × 71¹

Step-3: Factors of 52175

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

1, 5, 25, 2087, 10435

Step-4: Factors of 52185

List of positive integer factors of 52185 that divides 52175 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 71, 105, 147, 213, 245, 355, 497, 735, 1065, 1491, 2485, 3479, 7455, 10437, 17395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52175 and 52185. The biggest common factor number is the GCF number.
So the greatest common factor 52175 and 52185 is 5.

Also check out the Least Common Multiple of 52175 and 52185