What is the Greatest Common Factor of 52185 and 52205?

Greatest common factor (GCF) of 52185 and 52205 is 5.

GCF(52185,52205) = 5

We will now calculate the prime factors of 52185 and 52205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52185 and 52205.

How to find the GCF of 52185 and 52205?

We will first find the prime factorization of 52185 and 52205. After we will calculate the factors of 52185 and 52205 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52205

Prime factors of 52205 are 5, 53, 197. Prime factorization of 52205 in exponential form is:

52205 = 5¹ × 53¹ × 197¹

Step-3: Factors of 52185

List of positive integer factors of 52185 that divides 52185 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

Step-4: Factors of 52205

List of positive integer factors of 52205 that divides 52185 without a remainder.

1, 5, 53, 197, 265, 985, 10441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52185 and 52205. The biggest common factor number is the GCF number.
So the greatest common factor 52185 and 52205 is 5.

Also check out the Least Common Multiple of 52185 and 52205