What is the Greatest Common Factor of 3400 and 3413?

Greatest common factor (GCF) of 3400 and 3413 is 1.

GCF(3400,3413) = 1

We will now calculate the prime factors of 3400 and 3413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3400 and 3413.

How to find the GCF of 3400 and 3413?

We will first find the prime factorization of 3400 and 3413. After we will calculate the factors of 3400 and 3413 and find the biggest common factor number .

Step-1: Prime Factorization of 3400

Prime factors of 3400 are 2, 5, 17. Prime factorization of 3400 in exponential form is:

3400 = 2³ × 5² × 17¹

Step-2: Prime Factorization of 3413

Prime factors of 3413 are 3413. Prime factorization of 3413 in exponential form is:

3413 = 3413¹

Step-3: Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700

Step-4: Factors of 3413

List of positive integer factors of 3413 that divides 3400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3400 and 3413. The biggest common factor number is the GCF number.
So the greatest common factor 3400 and 3413 is 1.

Also check out the Least Common Multiple of 3400 and 3413