What is the Greatest Common Factor of 3430 and 3442?

Greatest common factor (GCF) of 3430 and 3442 is 2.

GCF(3430,3442) = 2

We will now calculate the prime factors of 3430 and 3442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3430 and 3442.

How to find the GCF of 3430 and 3442?

We will first find the prime factorization of 3430 and 3442. After we will calculate the factors of 3430 and 3442 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 3442

Prime factors of 3442 are 2, 1721. Prime factorization of 3442 in exponential form is:

3442 = 2¹ × 1721¹

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 3442

List of positive integer factors of 3442 that divides 3430 without a remainder.

1, 2, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3430 and 3442. The biggest common factor number is the GCF number.
So the greatest common factor 3430 and 3442 is 2.

Also check out the Least Common Multiple of 3430 and 3442