What is the Greatest Common Factor of 3464 and 3478?

Greatest common factor (GCF) of 3464 and 3478 is 2.

GCF(3464,3478) = 2

We will now calculate the prime factors of 3464 and 3478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3464 and 3478.

How to find the GCF of 3464 and 3478?

We will first find the prime factorization of 3464 and 3478. After we will calculate the factors of 3464 and 3478 and find the biggest common factor number .

Step-1: Prime Factorization of 3464

Prime factors of 3464 are 2, 433. Prime factorization of 3464 in exponential form is:

3464 = 2³ × 433¹

Step-2: Prime Factorization of 3478

Prime factors of 3478 are 2, 37, 47. Prime factorization of 3478 in exponential form is:

3478 = 2¹ × 37¹ × 47¹

Step-3: Factors of 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1, 2, 4, 8, 433, 866, 1732

Step-4: Factors of 3478

List of positive integer factors of 3478 that divides 3464 without a remainder.

1, 2, 37, 47, 74, 94, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3464 and 3478. The biggest common factor number is the GCF number.
So the greatest common factor 3464 and 3478 is 2.

Also check out the Least Common Multiple of 3464 and 3478