What is the Greatest Common Factor of 479 and 493?

Greatest common factor (GCF) of 479 and 493 is 1.

GCF(479,493) = 1

We will now calculate the prime factors of 479 and 493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 479 and 493.

How to find the GCF of 479 and 493?

We will first find the prime factorization of 479 and 493. After we will calculate the factors of 479 and 493 and find the biggest common factor number .

Step-1: Prime Factorization of 479

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

479 = 479¹

Step-2: Prime Factorization of 493

Prime factors of 493 are 17, 29. Prime factorization of 493 in exponential form is:

493 = 17¹ × 29¹

Step-3: Factors of 479

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

Step-4: Factors of 493

List of positive integer factors of 493 that divides 479 without a remainder.

1, 17, 29

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 479 and 493. The biggest common factor number is the GCF number.
So the greatest common factor 479 and 493 is 1.

Also check out the Least Common Multiple of 479 and 493