What is the Greatest Common Factor of 3507 and 3516?

Greatest common factor (GCF) of 3507 and 3516 is 3.

GCF(3507,3516) = 3

We will now calculate the prime factors of 3507 and 3516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3507 and 3516.

How to find the GCF of 3507 and 3516?

We will first find the prime factorization of 3507 and 3516. After we will calculate the factors of 3507 and 3516 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 3516

Prime factors of 3516 are 2, 3, 293. Prime factorization of 3516 in exponential form is:

3516 = 2² × 3¹ × 293¹

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 3516

List of positive integer factors of 3516 that divides 3507 without a remainder.

1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3507 and 3516. The biggest common factor number is the GCF number.
So the greatest common factor 3507 and 3516 is 3.

Also check out the Least Common Multiple of 3507 and 3516