What is the Greatest Common Factor of 4450 and 4465?

Greatest common factor (GCF) of 4450 and 4465 is 5.

GCF(4450,4465) = 5

We will now calculate the prime factors of 4450 and 4465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4450 and 4465.

How to find the GCF of 4450 and 4465?

We will first find the prime factorization of 4450 and 4465. After we will calculate the factors of 4450 and 4465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4465

Prime factors of 4465 are 5, 19, 47. Prime factorization of 4465 in exponential form is:

4465 = 5¹ × 19¹ × 47¹

Step-3: Factors of 4450

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

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

Step-4: Factors of 4465

List of positive integer factors of 4465 that divides 4450 without a remainder.

1, 5, 19, 47, 95, 235, 893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4450 and 4465. The biggest common factor number is the GCF number.
So the greatest common factor 4450 and 4465 is 5.

Also check out the Least Common Multiple of 4450 and 4465