What is the Greatest Common Factor of 3504 and 3518?

Greatest common factor (GCF) of 3504 and 3518 is 2.

GCF(3504,3518) = 2

We will now calculate the prime factors of 3504 and 3518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3504 and 3518.

How to find the GCF of 3504 and 3518?

We will first find the prime factorization of 3504 and 3518. After we will calculate the factors of 3504 and 3518 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 3518

Prime factors of 3518 are 2, 1759. Prime factorization of 3518 in exponential form is:

3518 = 2¹ × 1759¹

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 3518

List of positive integer factors of 3518 that divides 3504 without a remainder.

1, 2, 1759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3504 and 3518. The biggest common factor number is the GCF number.
So the greatest common factor 3504 and 3518 is 2.

Also check out the Least Common Multiple of 3504 and 3518