What is the Greatest Common Factor of 3434 and 3452?

Greatest common factor (GCF) of 3434 and 3452 is 2.

GCF(3434,3452) = 2

We will now calculate the prime factors of 3434 and 3452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3434 and 3452.

How to find the GCF of 3434 and 3452?

We will first find the prime factorization of 3434 and 3452. After we will calculate the factors of 3434 and 3452 and find the biggest common factor number .

Step-1: Prime Factorization of 3434

Prime factors of 3434 are 2, 17, 101. Prime factorization of 3434 in exponential form is:

3434 = 2¹ × 17¹ × 101¹

Step-2: Prime Factorization of 3452

Prime factors of 3452 are 2, 863. Prime factorization of 3452 in exponential form is:

3452 = 2² × 863¹

Step-3: Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1, 2, 17, 34, 101, 202, 1717

Step-4: Factors of 3452

List of positive integer factors of 3452 that divides 3434 without a remainder.

1, 2, 4, 863, 1726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3434 and 3452. The biggest common factor number is the GCF number.
So the greatest common factor 3434 and 3452 is 2.

Also check out the Least Common Multiple of 3434 and 3452