What is the Greatest Common Factor of 3516 and 3525?

Greatest common factor (GCF) of 3516 and 3525 is 3.

GCF(3516,3525) = 3

We will now calculate the prime factors of 3516 and 3525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3516 and 3525.

How to find the GCF of 3516 and 3525?

We will first find the prime factorization of 3516 and 3525. After we will calculate the factors of 3516 and 3525 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3525

Prime factors of 3525 are 3, 5, 47. Prime factorization of 3525 in exponential form is:

3525 = 3¹ × 5² × 47¹

Step-3: Factors of 3516

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

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

Step-4: Factors of 3525

List of positive integer factors of 3525 that divides 3516 without a remainder.

1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3516 and 3525. The biggest common factor number is the GCF number.
So the greatest common factor 3516 and 3525 is 3.

Also check out the Least Common Multiple of 3516 and 3525