What is the Greatest Common Factor of 459 and 479?

Greatest common factor (GCF) of 459 and 479 is 1.

GCF(459,479) = 1

We will now calculate the prime factors of 459 and 479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 459 and 479.

How to find the GCF of 459 and 479?

We will first find the prime factorization of 459 and 479. After we will calculate the factors of 459 and 479 and find the biggest common factor number .

Step-1: Prime Factorization of 459

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

459 = 3³ × 17¹

Step-2: Prime Factorization of 479

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 479¹

Step-3: Factors of 459

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

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

Step-4: Factors of 479

List of positive integer factors of 479 that divides 459 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 459 and 479. The biggest common factor number is the GCF number.
So the greatest common factor 459 and 479 is 1.

Also check out the Least Common Multiple of 459 and 479