What is the Greatest Common Factor of 4116 and 4125?

Greatest common factor (GCF) of 4116 and 4125 is 3.

GCF(4116,4125) = 3

We will now calculate the prime factors of 4116 and 4125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4116 and 4125.

How to find the GCF of 4116 and 4125?

We will first find the prime factorization of 4116 and 4125. After we will calculate the factors of 4116 and 4125 and find the biggest common factor number .

Step-1: Prime Factorization of 4116

Prime factors of 4116 are 2, 3, 7. Prime factorization of 4116 in exponential form is:

4116 = 2² × 3¹ × 7³

Step-2: Prime Factorization of 4125

Prime factors of 4125 are 3, 5, 11. Prime factorization of 4125 in exponential form is:

4125 = 3¹ × 5³ × 11¹

Step-3: Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058

Step-4: Factors of 4125

List of positive integer factors of 4125 that divides 4116 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4116 and 4125. The biggest common factor number is the GCF number.
So the greatest common factor 4116 and 4125 is 3.

Also check out the Least Common Multiple of 4116 and 4125