What is the Greatest Common Factor of 3420 and 3432?

Greatest common factor (GCF) of 3420 and 3432 is 12.

GCF(3420,3432) = 12

We will now calculate the prime factors of 3420 and 3432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3420 and 3432.

How to find the GCF of 3420 and 3432?

We will first find the prime factorization of 3420 and 3432. After we will calculate the factors of 3420 and 3432 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 3432

Prime factors of 3432 are 2, 3, 11, 13. Prime factorization of 3432 in exponential form is:

3432 = 2³ × 3¹ × 11¹ × 13¹

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 3432

List of positive integer factors of 3432 that divides 3420 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3420 and 3432. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3432 is 12.

Also check out the Least Common Multiple of 3420 and 3432