What is the Greatest Common Factor of 434 and 441?

Greatest common factor (GCF) of 434 and 441 is 7.

GCF(434,441) = 7

We will now calculate the prime factors of 434 and 441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 434 and 441.

How to find the GCF of 434 and 441?

We will first find the prime factorization of 434 and 441. After we will calculate the factors of 434 and 441 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 441

Prime factors of 441 are 3, 7. Prime factorization of 441 in exponential form is:

441 = 3² × 7²

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 441

List of positive integer factors of 441 that divides 434 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 434 and 441. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 441 is 7.

Also check out the Least Common Multiple of 434 and 441