What is the Greatest Common Factor of 434 and 442?

Greatest common factor (GCF) of 434 and 442 is 2.

GCF(434,442) = 2

We will now calculate the prime factors of 434 and 442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 434 and 442.

How to find the GCF of 434 and 442?

We will first find the prime factorization of 434 and 442. After we will calculate the factors of 434 and 442 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 442

Prime factors of 442 are 2, 13, 17. Prime factorization of 442 in exponential form is:

442 = 2¹ × 13¹ × 17¹

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 442

List of positive integer factors of 442 that divides 434 without a remainder.

1, 2, 13, 17, 26, 34, 221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 434 and 442. The biggest common factor number is the GCF number.
So the greatest common factor 434 and 442 is 2.

Also check out the Least Common Multiple of 434 and 442