What is the Greatest Common Factor of 3522 and 3538?

Greatest common factor (GCF) of 3522 and 3538 is 2.

GCF(3522,3538) = 2

We will now calculate the prime factors of 3522 and 3538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3522 and 3538.

How to find the GCF of 3522 and 3538?

We will first find the prime factorization of 3522 and 3538. After we will calculate the factors of 3522 and 3538 and find the biggest common factor number .

Step-1: Prime Factorization of 3522

Prime factors of 3522 are 2, 3, 587. Prime factorization of 3522 in exponential form is:

3522 = 2¹ × 3¹ × 587¹

Step-2: Prime Factorization of 3538

Prime factors of 3538 are 2, 29, 61. Prime factorization of 3538 in exponential form is:

3538 = 2¹ × 29¹ × 61¹

Step-3: Factors of 3522

List of positive integer factors of 3522 that divides 3522 without a remainder.

1, 2, 3, 6, 587, 1174, 1761

Step-4: Factors of 3538

List of positive integer factors of 3538 that divides 3522 without a remainder.

1, 2, 29, 58, 61, 122, 1769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3522 and 3538. The biggest common factor number is the GCF number.
So the greatest common factor 3522 and 3538 is 2.

Also check out the Least Common Multiple of 3522 and 3538