What is the Greatest Common Factor of 3497 and 3510?

Greatest common factor (GCF) of 3497 and 3510 is 13.

GCF(3497,3510) = 13

We will now calculate the prime factors of 3497 and 3510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3497 and 3510.

How to find the GCF of 3497 and 3510?

We will first find the prime factorization of 3497 and 3510. After we will calculate the factors of 3497 and 3510 and find the biggest common factor number .

Step-1: Prime Factorization of 3497

Prime factors of 3497 are 13, 269. Prime factorization of 3497 in exponential form is:

3497 = 13¹ × 269¹

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 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1, 13, 269

Step-4: Factors of 3510

List of positive integer factors of 3510 that divides 3497 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 3497 and 3510. The biggest common factor number is the GCF number.
So the greatest common factor 3497 and 3510 is 13.

Also check out the Least Common Multiple of 3497 and 3510