What is the Greatest Common Factor of 3523 and 3536?

Greatest common factor (GCF) of 3523 and 3536 is 13.

GCF(3523,3536) = 13

We will now calculate the prime factors of 3523 and 3536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3523 and 3536.

How to find the GCF of 3523 and 3536?

We will first find the prime factorization of 3523 and 3536. After we will calculate the factors of 3523 and 3536 and find the biggest common factor number .

Step-1: Prime Factorization of 3523

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

3523 = 13¹ × 271¹

Step-2: Prime Factorization of 3536

Prime factors of 3536 are 2, 13, 17. Prime factorization of 3536 in exponential form is:

3536 = 2⁴ × 13¹ × 17¹

Step-3: Factors of 3523

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

1, 13, 271

Step-4: Factors of 3536

List of positive integer factors of 3536 that divides 3523 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3523 and 3536. The biggest common factor number is the GCF number.
So the greatest common factor 3523 and 3536 is 13.

Also check out the Least Common Multiple of 3523 and 3536