What is the Greatest Common Factor of 3417 and 3435?

Greatest common factor (GCF) of 3417 and 3435 is 3.

GCF(3417,3435) = 3

We will now calculate the prime factors of 3417 and 3435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3417 and 3435.

How to find the GCF of 3417 and 3435?

We will first find the prime factorization of 3417 and 3435. After we will calculate the factors of 3417 and 3435 and find the biggest common factor number .

Step-1: Prime Factorization of 3417

Prime factors of 3417 are 3, 17, 67. Prime factorization of 3417 in exponential form is:

3417 = 3¹ × 17¹ × 67¹

Step-2: 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-3: Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1, 3, 17, 51, 67, 201, 1139

Step-4: Factors of 3435

List of positive integer factors of 3435 that divides 3417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3417 and 3435. The biggest common factor number is the GCF number.
So the greatest common factor 3417 and 3435 is 3.

Also check out the Least Common Multiple of 3417 and 3435