What is the Greatest Common Factor of 3420 and 3438?

Greatest common factor (GCF) of 3420 and 3438 is 18.

GCF(3420,3438) = 18

We will now calculate the prime factors of 3420 and 3438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3420 and 3438.

How to find the GCF of 3420 and 3438?

We will first find the prime factorization of 3420 and 3438. After we will calculate the factors of 3420 and 3438 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 3438

Prime factors of 3438 are 2, 3, 191. Prime factorization of 3438 in exponential form is:

3438 = 2¹ × 3² × 191¹

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 3438

List of positive integer factors of 3438 that divides 3420 without a remainder.

1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3420 and 3438. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3438 is 18.

Also check out the Least Common Multiple of 3420 and 3438