What is the Greatest Common Factor of 4125 and 4144?

Greatest common factor (GCF) of 4125 and 4144 is 1.

GCF(4125,4144) = 1

We will now calculate the prime factors of 4125 and 4144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4125 and 4144.

How to find the GCF of 4125 and 4144?

We will first find the prime factorization of 4125 and 4144. After we will calculate the factors of 4125 and 4144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4144

Prime factors of 4144 are 2, 7, 37. Prime factorization of 4144 in exponential form is:

4144 = 2⁴ × 7¹ × 37¹

Step-3: Factors of 4125

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

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

Step-4: Factors of 4144

List of positive integer factors of 4144 that divides 4125 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4125 and 4144. The biggest common factor number is the GCF number.
So the greatest common factor 4125 and 4144 is 1.

Also check out the Least Common Multiple of 4125 and 4144