What is the Greatest Common Factor of 3454 and 3470?

Greatest common factor (GCF) of 3454 and 3470 is 2.

GCF(3454,3470) = 2

We will now calculate the prime factors of 3454 and 3470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3454 and 3470.

How to find the GCF of 3454 and 3470?

We will first find the prime factorization of 3454 and 3470. After we will calculate the factors of 3454 and 3470 and find the biggest common factor number .

Step-1: Prime Factorization of 3454

Prime factors of 3454 are 2, 11, 157. Prime factorization of 3454 in exponential form is:

3454 = 2¹ × 11¹ × 157¹

Step-2: 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-3: Factors of 3454

List of positive integer factors of 3454 that divides 3454 without a remainder.

1, 2, 11, 22, 157, 314, 1727

Step-4: Factors of 3470

List of positive integer factors of 3470 that divides 3454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3454 and 3470. The biggest common factor number is the GCF number.
So the greatest common factor 3454 and 3470 is 2.

Also check out the Least Common Multiple of 3454 and 3470