What is the Greatest Common Factor of 442 and 459?

Greatest common factor (GCF) of 442 and 459 is 17.

GCF(442,459) = 17

We will now calculate the prime factors of 442 and 459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 442 and 459.

How to find the GCF of 442 and 459?

We will first find the prime factorization of 442 and 459. After we will calculate the factors of 442 and 459 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 459

Prime factors of 459 are 3, 17. Prime factorization of 459 in exponential form is:

459 = 3³ × 17¹

Step-3: Factors of 442

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

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

Step-4: Factors of 459

List of positive integer factors of 459 that divides 442 without a remainder.

1, 3, 9, 17, 27, 51, 153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 442 and 459. The biggest common factor number is the GCF number.
So the greatest common factor 442 and 459 is 17.

Also check out the Least Common Multiple of 442 and 459