What is the Greatest Common Factor of 3507 and 3513?

Greatest common factor (GCF) of 3507 and 3513 is 3.

GCF(3507,3513) = 3

We will now calculate the prime factors of 3507 and 3513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3507 and 3513.

How to find the GCF of 3507 and 3513?

We will first find the prime factorization of 3507 and 3513. After we will calculate the factors of 3507 and 3513 and find the biggest common factor number .

Step-1: Prime Factorization of 3507

Prime factors of 3507 are 3, 7, 167. Prime factorization of 3507 in exponential form is:

3507 = 3¹ × 7¹ × 167¹

Step-2: Prime Factorization of 3513

Prime factors of 3513 are 3, 1171. Prime factorization of 3513 in exponential form is:

3513 = 3¹ × 1171¹

Step-3: Factors of 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1, 3, 7, 21, 167, 501, 1169

Step-4: Factors of 3513

List of positive integer factors of 3513 that divides 3507 without a remainder.

1, 3, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3507 and 3513. The biggest common factor number is the GCF number.
So the greatest common factor 3507 and 3513 is 3.

Also check out the Least Common Multiple of 3507 and 3513