What is the Greatest Common Factor of 3481 and 3488?

Greatest common factor (GCF) of 3481 and 3488 is 1.

GCF(3481,3488) = 1

We will now calculate the prime factors of 3481 and 3488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3481 and 3488.

How to find the GCF of 3481 and 3488?

We will first find the prime factorization of 3481 and 3488. After we will calculate the factors of 3481 and 3488 and find the biggest common factor number .

Step-1: Prime Factorization of 3481

Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:

3481 = 59²

Step-2: Prime Factorization of 3488

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

3488 = 2⁵ × 109¹

Step-3: Factors of 3481

List of positive integer factors of 3481 that divides 3481 without a remainder.

1, 59

Step-4: Factors of 3488

List of positive integer factors of 3488 that divides 3481 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3481 and 3488. The biggest common factor number is the GCF number.
So the greatest common factor 3481 and 3488 is 1.

Also check out the Least Common Multiple of 3481 and 3488