What is the Greatest Common Factor of 434 and 449?

Greatest common factor (GCF) of 434 and 449 is 1.

GCF(434,449) = 1

We will now calculate the prime factors of 434 and 449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 434 and 449.

How to find the GCF of 434 and 449?

We will first find the prime factorization of 434 and 449. After we will calculate the factors of 434 and 449 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 449

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 449¹

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 449

List of positive integer factors of 449 that divides 434 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 434 and 449. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 449 is 1.

Also check out the Least Common Multiple of 434 and 449