What is the Greatest Common Factor of 52170 and 52189?

Greatest common factor (GCF) of 52170 and 52189 is 1.

GCF(52170,52189) = 1

We will now calculate the prime factors of 52170 and 52189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52170 and 52189.

How to find the GCF of 52170 and 52189?

We will first find the prime factorization of 52170 and 52189. After we will calculate the factors of 52170 and 52189 and find the biggest common factor number .

Step-1: Prime Factorization of 52170

Prime factors of 52170 are 2, 3, 5, 37, 47. Prime factorization of 52170 in exponential form is:

52170 = 2¹ × 3¹ × 5¹ × 37¹ × 47¹

Step-2: Prime Factorization of 52189

Prime factors of 52189 are 52189. Prime factorization of 52189 in exponential form is:

52189 = 52189¹

Step-3: Factors of 52170

List of positive integer factors of 52170 that divides 52170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 47, 74, 94, 111, 141, 185, 222, 235, 282, 370, 470, 555, 705, 1110, 1410, 1739, 3478, 5217, 8695, 10434, 17390, 26085

Step-4: Factors of 52189

List of positive integer factors of 52189 that divides 52170 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52170 and 52189. The biggest common factor number is the GCF number.
So the greatest common factor 52170 and 52189 is 1.

Also check out the Least Common Multiple of 52170 and 52189