What is the Greatest Common Factor of 3420 and 3440?

Greatest common factor (GCF) of 3420 and 3440 is 20.

GCF(3420,3440) = 20

We will now calculate the prime factors of 3420 and 3440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3420 and 3440.

How to find the GCF of 3420 and 3440?

We will first find the prime factorization of 3420 and 3440. After we will calculate the factors of 3420 and 3440 and find the biggest common factor number .

Step-1: Prime Factorization of 3420

Prime factors of 3420 are 2, 3, 5, 19. Prime factorization of 3420 in exponential form is:

3420 = 2² × 3² × 5¹ × 19¹

Step-2: Prime Factorization of 3440

Prime factors of 3440 are 2, 5, 43. Prime factorization of 3440 in exponential form is:

3440 = 2⁴ × 5¹ × 43¹

Step-3: Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710

Step-4: Factors of 3440

List of positive integer factors of 3440 that divides 3420 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3420 and 3440. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3440 is 20.

Also check out the Least Common Multiple of 3420 and 3440