What is the Greatest Common Factor of 3470 and 3474?

Greatest common factor (GCF) of 3470 and 3474 is 2.

GCF(3470,3474) = 2

We will now calculate the prime factors of 3470 and 3474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3470 and 3474.

How to find the GCF of 3470 and 3474?

We will first find the prime factorization of 3470 and 3474. After we will calculate the factors of 3470 and 3474 and find the biggest common factor number .

Step-1: Prime Factorization of 3470

Prime factors of 3470 are 2, 5, 347. Prime factorization of 3470 in exponential form is:

3470 = 2¹ × 5¹ × 347¹

Step-2: Prime Factorization of 3474

Prime factors of 3474 are 2, 3, 193. Prime factorization of 3474 in exponential form is:

3474 = 2¹ × 3² × 193¹

Step-3: Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1, 2, 5, 10, 347, 694, 1735

Step-4: Factors of 3474

List of positive integer factors of 3474 that divides 3470 without a remainder.

1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3470 and 3474. The biggest common factor number is the GCF number.
So the greatest common factor 3470 and 3474 is 2.

Also check out the Least Common Multiple of 3470 and 3474