What is the Greatest Common Factor of 52130 and 52143?

Greatest common factor (GCF) of 52130 and 52143 is 13.

GCF(52130,52143) = 13

We will now calculate the prime factors of 52130 and 52143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52130 and 52143.

How to find the GCF of 52130 and 52143?

We will first find the prime factorization of 52130 and 52143. After we will calculate the factors of 52130 and 52143 and find the biggest common factor number .

Step-1: Prime Factorization of 52130

Prime factors of 52130 are 2, 5, 13, 401. Prime factorization of 52130 in exponential form is:

52130 = 2¹ × 5¹ × 13¹ × 401¹

Step-2: Prime Factorization of 52143

Prime factors of 52143 are 3, 7, 13, 191. Prime factorization of 52143 in exponential form is:

52143 = 3¹ × 7¹ × 13¹ × 191¹

Step-3: Factors of 52130

List of positive integer factors of 52130 that divides 52130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 401, 802, 2005, 4010, 5213, 10426, 26065

Step-4: Factors of 52143

List of positive integer factors of 52143 that divides 52130 without a remainder.

1, 3, 7, 13, 21, 39, 91, 191, 273, 573, 1337, 2483, 4011, 7449, 17381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52130 and 52143. The biggest common factor number is the GCF number.
So the greatest common factor 52130 and 52143 is 13.

Also check out the Least Common Multiple of 52130 and 52143