What is the Greatest Common Factor of 4425 and 4440?

Greatest common factor (GCF) of 4425 and 4440 is 15.

GCF(4425,4440) = 15

We will now calculate the prime factors of 4425 and 4440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4425 and 4440.

How to find the GCF of 4425 and 4440?

We will first find the prime factorization of 4425 and 4440. After we will calculate the factors of 4425 and 4440 and find the biggest common factor number .

Step-1: Prime Factorization of 4425

Prime factors of 4425 are 3, 5, 59. Prime factorization of 4425 in exponential form is:

4425 = 3¹ × 5² × 59¹

Step-2: Prime Factorization of 4440

Prime factors of 4440 are 2, 3, 5, 37. Prime factorization of 4440 in exponential form is:

4440 = 2³ × 3¹ × 5¹ × 37¹

Step-3: Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475

Step-4: Factors of 4440

List of positive integer factors of 4440 that divides 4425 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4425 and 4440. The biggest common factor number is the GCF number.
So the greatest common factor 4425 and 4440 is 15.

Also check out the Least Common Multiple of 4425 and 4440