What is the Greatest Common Factor of 3403 and 3414?

Greatest common factor (GCF) of 3403 and 3414 is 1.

GCF(3403,3414) = 1

We will now calculate the prime factors of 3403 and 3414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3403 and 3414.

How to find the GCF of 3403 and 3414?

We will first find the prime factorization of 3403 and 3414. After we will calculate the factors of 3403 and 3414 and find the biggest common factor number .

Step-1: Prime Factorization of 3403

Prime factors of 3403 are 41, 83. Prime factorization of 3403 in exponential form is:

3403 = 41¹ × 83¹

Step-2: Prime Factorization of 3414

Prime factors of 3414 are 2, 3, 569. Prime factorization of 3414 in exponential form is:

3414 = 2¹ × 3¹ × 569¹

Step-3: Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1, 41, 83

Step-4: Factors of 3414

List of positive integer factors of 3414 that divides 3403 without a remainder.

1, 2, 3, 6, 569, 1138, 1707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3403 and 3414. The biggest common factor number is the GCF number.
So the greatest common factor 3403 and 3414 is 1.

Also check out the Least Common Multiple of 3403 and 3414