What is the Greatest Common Factor of 450 and 455?

Greatest common factor (GCF) of 450 and 455 is 5.

GCF(450,455) = 5

We will now calculate the prime factors of 450 and 455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 450 and 455.

How to find the GCF of 450 and 455?

We will first find the prime factorization of 450 and 455. After we will calculate the factors of 450 and 455 and find the biggest common factor number .

Step-1: Prime Factorization of 450

Prime factors of 450 are 2, 3, 5. Prime factorization of 450 in exponential form is:

450 = 2¹ × 3² × 5²

Step-2: Prime Factorization of 455

Prime factors of 455 are 5, 7, 13. Prime factorization of 455 in exponential form is:

455 = 5¹ × 7¹ × 13¹

Step-3: Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225

Step-4: Factors of 455

List of positive integer factors of 455 that divides 450 without a remainder.

1, 5, 7, 13, 35, 65, 91

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 450 and 455. The biggest common factor number is the GCF number.
So the greatest common factor 450 and 455 is 5.

Also check out the Least Common Multiple of 450 and 455