What is the Greatest Common Factor of 3488 and 3494?

Greatest common factor (GCF) of 3488 and 3494 is 2.

GCF(3488,3494) = 2

We will now calculate the prime factors of 3488 and 3494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3488 and 3494.

How to find the GCF of 3488 and 3494?

We will first find the prime factorization of 3488 and 3494. After we will calculate the factors of 3488 and 3494 and find the biggest common factor number .

Step-1: Prime Factorization of 3488

Prime factors of 3488 are 2, 109. Prime factorization of 3488 in exponential form is:

3488 = 2⁵ × 109¹

Step-2: Prime Factorization of 3494

Prime factors of 3494 are 2, 1747. Prime factorization of 3494 in exponential form is:

3494 = 2¹ × 1747¹

Step-3: Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744

Step-4: Factors of 3494

List of positive integer factors of 3494 that divides 3488 without a remainder.

1, 2, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3488 and 3494. The biggest common factor number is the GCF number.
So the greatest common factor 3488 and 3494 is 2.

Also check out the Least Common Multiple of 3488 and 3494