What is the Greatest Common Factor of 3445 and 3452?

Greatest common factor (GCF) of 3445 and 3452 is 1.

GCF(3445,3452) = 1

We will now calculate the prime factors of 3445 and 3452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3445 and 3452.

How to find the GCF of 3445 and 3452?

We will first find the prime factorization of 3445 and 3452. After we will calculate the factors of 3445 and 3452 and find the biggest common factor number .

Step-1: Prime Factorization of 3445

Prime factors of 3445 are 5, 13, 53. Prime factorization of 3445 in exponential form is:

3445 = 5¹ × 13¹ × 53¹

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 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1, 5, 13, 53, 65, 265, 689

Step-4: Factors of 3452

List of positive integer factors of 3452 that divides 3445 without a remainder.

1, 2, 4, 863, 1726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3445 and 3452. The biggest common factor number is the GCF number.
So the greatest common factor 3445 and 3452 is 1.

Also check out the Least Common Multiple of 3445 and 3452