What is the Greatest Common Factor of 3504 and 3510?

Greatest common factor (GCF) of 3504 and 3510 is 6.

GCF(3504,3510) = 6

We will now calculate the prime factors of 3504 and 3510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3504 and 3510.

How to find the GCF of 3504 and 3510?

We will first find the prime factorization of 3504 and 3510. After we will calculate the factors of 3504 and 3510 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 3510

Prime factors of 3510 are 2, 3, 5, 13. Prime factorization of 3510 in exponential form is:

3510 = 2¹ × 3³ × 5¹ × 13¹

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 3510

List of positive integer factors of 3510 that divides 3504 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3504 and 3510. The biggest common factor number is the GCF number.
So the greatest common factor 3504 and 3510 is 6.

Also check out the Least Common Multiple of 3504 and 3510