What is the Greatest Common Factor of 3435 and 3447?

Greatest common factor (GCF) of 3435 and 3447 is 3.

GCF(3435,3447) = 3

We will now calculate the prime factors of 3435 and 3447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3435 and 3447.

How to find the GCF of 3435 and 3447?

We will first find the prime factorization of 3435 and 3447. After we will calculate the factors of 3435 and 3447 and find the biggest common factor number .

Step-1: Prime Factorization of 3435

Prime factors of 3435 are 3, 5, 229. Prime factorization of 3435 in exponential form is:

3435 = 3¹ × 5¹ × 229¹

Step-2: Prime Factorization of 3447

Prime factors of 3447 are 3, 383. Prime factorization of 3447 in exponential form is:

3447 = 3² × 383¹

Step-3: Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1, 3, 5, 15, 229, 687, 1145

Step-4: Factors of 3447

List of positive integer factors of 3447 that divides 3435 without a remainder.

1, 3, 9, 383, 1149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3435 and 3447. The biggest common factor number is the GCF number.
So the greatest common factor 3435 and 3447 is 3.

Also check out the Least Common Multiple of 3435 and 3447