What is the Greatest Common Factor of 3380 and 3400?

Greatest common factor (GCF) of 3380 and 3400 is 20.

GCF(3380,3400) = 20

We will now calculate the prime factors of 3380 and 3400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3380 and 3400.

How to find the GCF of 3380 and 3400?

We will first find the prime factorization of 3380 and 3400. After we will calculate the factors of 3380 and 3400 and find the biggest common factor number .

Step-1: Prime Factorization of 3380

Prime factors of 3380 are 2, 5, 13. Prime factorization of 3380 in exponential form is:

3380 = 2² × 5¹ × 13²

Step-2: 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-3: Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690

Step-4: Factors of 3400

List of positive integer factors of 3400 that divides 3380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3380 and 3400. The biggest common factor number is the GCF number.
So the greatest common factor 3380 and 3400 is 20.

Also check out the Least Common Multiple of 3380 and 3400