What is the Greatest Common Factor of 434 and 440?

Greatest common factor (GCF) of 434 and 440 is 2.

GCF(434,440) = 2

We will now calculate the prime factors of 434 and 440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 434 and 440.

How to find the GCF of 434 and 440?

We will first find the prime factorization of 434 and 440. After we will calculate the factors of 434 and 440 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 440

Prime factors of 440 are 2, 5, 11. Prime factorization of 440 in exponential form is:

440 = 2³ × 5¹ × 11¹

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 440

List of positive integer factors of 440 that divides 434 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 434 and 440. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 440 is 2.

Also check out the Least Common Multiple of 434 and 440