What is the Greatest Common Factor of 3510 and 3523?

Greatest common factor (GCF) of 3510 and 3523 is 13.

GCF(3510,3523) = 13

We will now calculate the prime factors of 3510 and 3523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3510 and 3523.

How to find the GCF of 3510 and 3523?

We will first find the prime factorization of 3510 and 3523. After we will calculate the factors of 3510 and 3523 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 3523

Prime factors of 3523 are 13, 271. Prime factorization of 3523 in exponential form is:

3523 = 13¹ × 271¹

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 3523

List of positive integer factors of 3523 that divides 3510 without a remainder.

1, 13, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3510 and 3523. The biggest common factor number is the GCF number.
So the greatest common factor 3510 and 3523 is 13.

Also check out the Least Common Multiple of 3510 and 3523