What is the Greatest Common Factor of 3470 and 3475?

Greatest common factor (GCF) of 3470 and 3475 is 5.

GCF(3470,3475) = 5

We will now calculate the prime factors of 3470 and 3475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3470 and 3475.

How to find the GCF of 3470 and 3475?

We will first find the prime factorization of 3470 and 3475. After we will calculate the factors of 3470 and 3475 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 3475

Prime factors of 3475 are 5, 139. Prime factorization of 3475 in exponential form is:

3475 = 5² × 139¹

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 3475

List of positive integer factors of 3475 that divides 3470 without a remainder.

1, 5, 25, 139, 695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3470 and 3475. The biggest common factor number is the GCF number.
So the greatest common factor 3470 and 3475 is 5.

Also check out the Least Common Multiple of 3470 and 3475