What is the Greatest Common Factor of 474 and 493?

Greatest common factor (GCF) of 474 and 493 is 1.

GCF(474,493) = 1

We will now calculate the prime factors of 474 and 493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 474 and 493.

How to find the GCF of 474 and 493?

We will first find the prime factorization of 474 and 493. After we will calculate the factors of 474 and 493 and find the biggest common factor number .

Step-1: Prime Factorization of 474

Prime factors of 474 are 2, 3, 79. Prime factorization of 474 in exponential form is:

474 = 2¹ × 3¹ × 79¹

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 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237

Step-4: Factors of 493

List of positive integer factors of 493 that divides 474 without a remainder.

1, 17, 29

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 474 and 493. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 493 is 1.

Also check out the Least Common Multiple of 474 and 493