What is the Greatest Common Factor of 434 and 450?

Greatest common factor (GCF) of 434 and 450 is 2.

GCF(434,450) = 2

We will now calculate the prime factors of 434 and 450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 434 and 450.

How to find the GCF of 434 and 450?

We will first find the prime factorization of 434 and 450. After we will calculate the factors of 434 and 450 and find the biggest common factor number .

Step-1: Prime Factorization of 434

Prime factors of 434 are 2, 7, 31. Prime factorization of 434 in exponential form is:

434 = 2¹ × 7¹ × 31¹

Step-2: 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-3: Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217

Step-4: Factors of 450

List of positive integer factors of 450 that divides 434 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 434 and 450. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 450 is 2.

Also check out the Least Common Multiple of 434 and 450