What is the Greatest Common Factor of 470 and 474?

Greatest common factor (GCF) of 470 and 474 is 2.

GCF(470,474) = 2

We will now calculate the prime factors of 470 and 474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 470 and 474.

How to find the GCF of 470 and 474?

We will first find the prime factorization of 470 and 474. After we will calculate the factors of 470 and 474 and find the biggest common factor number .

Step-1: Prime Factorization of 470

Prime factors of 470 are 2, 5, 47. Prime factorization of 470 in exponential form is:

470 = 2¹ × 5¹ × 47¹

Step-2: 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-3: Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235

Step-4: Factors of 474

List of positive integer factors of 474 that divides 470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 470 and 474. The biggest common factor number is the GCF number.
So the greatest common factor 470 and 474 is 2.

Also check out the Least Common Multiple of 470 and 474