What is the Greatest Common Factor of 3420 and 3430?

Greatest common factor (GCF) of 3420 and 3430 is 10.

GCF(3420,3430) = 10

We will now calculate the prime factors of 3420 and 3430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3420 and 3430.

How to find the GCF of 3420 and 3430?

We will first find the prime factorization of 3420 and 3430. After we will calculate the factors of 3420 and 3430 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 3430

Prime factors of 3430 are 2, 5, 7. Prime factorization of 3430 in exponential form is:

3430 = 2¹ × 5¹ × 7³

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 3430

List of positive integer factors of 3430 that divides 3420 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3420 and 3430. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3430 is 10.

Also check out the Least Common Multiple of 3420 and 3430