What is the Greatest Common Factor of 52205 and 52215?

Greatest common factor (GCF) of 52205 and 52215 is 5.

GCF(52205,52215) = 5

We will now calculate the prime factors of 52205 and 52215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52205 and 52215.

How to find the GCF of 52205 and 52215?

We will first find the prime factorization of 52205 and 52215. After we will calculate the factors of 52205 and 52215 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52215

Prime factors of 52215 are 3, 5, 59. Prime factorization of 52215 in exponential form is:

52215 = 3¹ × 5¹ × 59²

Step-3: Factors of 52205

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

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

Step-4: Factors of 52215

List of positive integer factors of 52215 that divides 52205 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885, 3481, 10443, 17405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52205 and 52215. The biggest common factor number is the GCF number.
So the greatest common factor 52205 and 52215 is 5.

Also check out the Least Common Multiple of 52205 and 52215