What is the Greatest Common Factor of 3442 and 3448?

Greatest common factor (GCF) of 3442 and 3448 is 2.

GCF(3442,3448) = 2

We will now calculate the prime factors of 3442 and 3448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3442 and 3448.

How to find the GCF of 3442 and 3448?

We will first find the prime factorization of 3442 and 3448. After we will calculate the factors of 3442 and 3448 and find the biggest common factor number .

Step-1: Prime Factorization of 3442

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

3442 = 2¹ × 1721¹

Step-2: Prime Factorization of 3448

Prime factors of 3448 are 2, 431. Prime factorization of 3448 in exponential form is:

3448 = 2³ × 431¹

Step-3: Factors of 3442

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

1, 2, 1721

Step-4: Factors of 3448

List of positive integer factors of 3448 that divides 3442 without a remainder.

1, 2, 4, 8, 431, 862, 1724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3442 and 3448. The biggest common factor number is the GCF number.
So the greatest common factor 3442 and 3448 is 2.

Also check out the Least Common Multiple of 3442 and 3448