What is the Greatest Common Factor of 3430 and 3444?

Greatest common factor (GCF) of 3430 and 3444 is 14.

GCF(3430,3444) = 14

We will now calculate the prime factors of 3430 and 3444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3430 and 3444.

How to find the GCF of 3430 and 3444?

We will first find the prime factorization of 3430 and 3444. After we will calculate the factors of 3430 and 3444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3444

Prime factors of 3444 are 2, 3, 7, 41. Prime factorization of 3444 in exponential form is:

3444 = 2² × 3¹ × 7¹ × 41¹

Step-3: Factors of 3430

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

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

Step-4: Factors of 3444

List of positive integer factors of 3444 that divides 3430 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3430 and 3444. The biggest common factor number is the GCF number.
So the greatest common factor 3430 and 3444 is 14.

Also check out the Least Common Multiple of 3430 and 3444