What is the Greatest Common Factor of 3510 and 3519?

Greatest common factor (GCF) of 3510 and 3519 is 9.

GCF(3510,3519) = 9

We will now calculate the prime factors of 3510 and 3519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3510 and 3519.

How to find the GCF of 3510 and 3519?

We will first find the prime factorization of 3510 and 3519. After we will calculate the factors of 3510 and 3519 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3519

Prime factors of 3519 are 3, 17, 23. Prime factorization of 3519 in exponential form is:

3519 = 3² × 17¹ × 23¹

Step-3: Factors of 3510

List of positive integer factors of 3510 that divides 3510 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

Step-4: Factors of 3519

List of positive integer factors of 3519 that divides 3510 without a remainder.

1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3510 and 3519. The biggest common factor number is the GCF number.
So the greatest common factor 3510 and 3519 is 9.

Also check out the Least Common Multiple of 3510 and 3519