What is the Greatest Common Factor of 3504 and 3522?

Greatest common factor (GCF) of 3504 and 3522 is 6.

GCF(3504,3522) = 6

We will now calculate the prime factors of 3504 and 3522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3504 and 3522.

How to find the GCF of 3504 and 3522?

We will first find the prime factorization of 3504 and 3522. After we will calculate the factors of 3504 and 3522 and find the biggest common factor number .

Step-1: Prime Factorization of 3504

Prime factors of 3504 are 2, 3, 73. Prime factorization of 3504 in exponential form is:

3504 = 2⁴ × 3¹ × 73¹

Step-2: 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-3: Factors of 3504

List of positive integer factors of 3504 that divides 3504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752

Step-4: Factors of 3522

List of positive integer factors of 3522 that divides 3504 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3504 and 3522. The biggest common factor number is the GCF number.
So the greatest common factor 3504 and 3522 is 6.

Also check out the Least Common Multiple of 3504 and 3522