What is the Greatest Common Factor of 52111 and 52125?

Greatest common factor (GCF) of 52111 and 52125 is 1.

GCF(52111,52125) = 1

We will now calculate the prime factors of 52111 and 52125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52111 and 52125.

How to find the GCF of 52111 and 52125?

We will first find the prime factorization of 52111 and 52125. After we will calculate the factors of 52111 and 52125 and find the biggest common factor number .

Step-1: Prime Factorization of 52111

Prime factors of 52111 are 31, 41. Prime factorization of 52111 in exponential form is:

52111 = 31¹ × 41²

Step-2: Prime Factorization of 52125

Prime factors of 52125 are 3, 5, 139. Prime factorization of 52125 in exponential form is:

52125 = 3¹ × 5³ × 139¹

Step-3: Factors of 52111

List of positive integer factors of 52111 that divides 52111 without a remainder.

1, 31, 41, 1271, 1681

Step-4: Factors of 52125

List of positive integer factors of 52125 that divides 52111 without a remainder.

1, 3, 5, 15, 25, 75, 125, 139, 375, 417, 695, 2085, 3475, 10425, 17375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52111 and 52125. The biggest common factor number is the GCF number.
So the greatest common factor 52111 and 52125 is 1.

Also check out the Least Common Multiple of 52111 and 52125