What is the Greatest Common Factor of 4440 and 4450?

Greatest common factor (GCF) of 4440 and 4450 is 10.

GCF(4440,4450) = 10

We will now calculate the prime factors of 4440 and 4450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4440 and 4450.

How to find the GCF of 4440 and 4450?

We will first find the prime factorization of 4440 and 4450. After we will calculate the factors of 4440 and 4450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4450

Prime factors of 4450 are 2, 5, 89. Prime factorization of 4450 in exponential form is:

4450 = 2¹ × 5² × 89¹

Step-3: Factors of 4440

List of positive integer factors of 4440 that divides 4440 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

Step-4: Factors of 4450

List of positive integer factors of 4450 that divides 4440 without a remainder.

1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4440 and 4450. The biggest common factor number is the GCF number.
So the greatest common factor 4440 and 4450 is 10.

Also check out the Least Common Multiple of 4440 and 4450