What is the Greatest Common Factor of 52171 and 52180?

Greatest common factor (GCF) of 52171 and 52180 is 1.

GCF(52171,52180) = 1

We will now calculate the prime factors of 52171 and 52180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52171 and 52180.

How to find the GCF of 52171 and 52180?

We will first find the prime factorization of 52171 and 52180. After we will calculate the factors of 52171 and 52180 and find the biggest common factor number .

Step-1: Prime Factorization of 52171

Prime factors of 52171 are 7, 29, 257. Prime factorization of 52171 in exponential form is:

52171 = 7¹ × 29¹ × 257¹

Step-2: Prime Factorization of 52180

Prime factors of 52180 are 2, 5, 2609. Prime factorization of 52180 in exponential form is:

52180 = 2² × 5¹ × 2609¹

Step-3: Factors of 52171

List of positive integer factors of 52171 that divides 52171 without a remainder.

1, 7, 29, 203, 257, 1799, 7453

Step-4: Factors of 52180

List of positive integer factors of 52180 that divides 52171 without a remainder.

1, 2, 4, 5, 10, 20, 2609, 5218, 10436, 13045, 26090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52171 and 52180. The biggest common factor number is the GCF number.
So the greatest common factor 52171 and 52180 is 1.

Also check out the Least Common Multiple of 52171 and 52180