What is the Greatest Common Factor of 3518 and 3536?

Greatest common factor (GCF) of 3518 and 3536 is 2.

GCF(3518,3536) = 2

We will now calculate the prime factors of 3518 and 3536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3518 and 3536.

How to find the GCF of 3518 and 3536?

We will first find the prime factorization of 3518 and 3536. After we will calculate the factors of 3518 and 3536 and find the biggest common factor number .

Step-1: Prime Factorization of 3518

Prime factors of 3518 are 2, 1759. Prime factorization of 3518 in exponential form is:

3518 = 2¹ × 1759¹

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 3518

List of positive integer factors of 3518 that divides 3518 without a remainder.

1, 2, 1759

Step-4: Factors of 3536

List of positive integer factors of 3536 that divides 3518 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 3518 and 3536. The biggest common factor number is the GCF number.
So the greatest common factor 3518 and 3536 is 2.

Also check out the Least Common Multiple of 3518 and 3536