What is the Greatest Common Factor of 3525 and 3537?

Greatest common factor (GCF) of 3525 and 3537 is 3.

GCF(3525,3537) = 3

We will now calculate the prime factors of 3525 and 3537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3525 and 3537.

How to find the GCF of 3525 and 3537?

We will first find the prime factorization of 3525 and 3537. After we will calculate the factors of 3525 and 3537 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3537

Prime factors of 3537 are 3, 131. Prime factorization of 3537 in exponential form is:

3537 = 3³ × 131¹

Step-3: Factors of 3525

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

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

Step-4: Factors of 3537

List of positive integer factors of 3537 that divides 3525 without a remainder.

1, 3, 9, 27, 131, 393, 1179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3525 and 3537. The biggest common factor number is the GCF number.
So the greatest common factor 3525 and 3537 is 3.

Also check out the Least Common Multiple of 3525 and 3537