What is the Greatest Common Factor of 82116 and 82125?

Greatest common factor (GCF) of 82116 and 82125 is 9.

GCF(82116,82125) = 9

We will now calculate the prime factors of 82116 and 82125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82116 and 82125.

How to find the GCF of 82116 and 82125?

We will first find the prime factorization of 82116 and 82125. After we will calculate the factors of 82116 and 82125 and find the biggest common factor number .

Step-1: Prime Factorization of 82116

Prime factors of 82116 are 2, 3, 2281. Prime factorization of 82116 in exponential form is:

82116 = 2² × 3² × 2281¹

Step-2: Prime Factorization of 82125

Prime factors of 82125 are 3, 5, 73. Prime factorization of 82125 in exponential form is:

82125 = 3² × 5³ × 73¹

Step-3: Factors of 82116

List of positive integer factors of 82116 that divides 82116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2281, 4562, 6843, 9124, 13686, 20529, 27372, 41058

Step-4: Factors of 82125

List of positive integer factors of 82125 that divides 82116 without a remainder.

1, 3, 5, 9, 15, 25, 45, 73, 75, 125, 219, 225, 365, 375, 657, 1095, 1125, 1825, 3285, 5475, 9125, 16425, 27375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82116 and 82125. The biggest common factor number is the GCF number.
So the greatest common factor 82116 and 82125 is 9.

Also check out the Least Common Multiple of 82116 and 82125