What is the Greatest Common Factor of 3525 and 3535?

Greatest common factor (GCF) of 3525 and 3535 is 5.

GCF(3525,3535) = 5

We will now calculate the prime factors of 3525 and 3535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3525 and 3535.

How to find the GCF of 3525 and 3535?

We will first find the prime factorization of 3525 and 3535. After we will calculate the factors of 3525 and 3535 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 3535

Prime factors of 3535 are 5, 7, 101. Prime factorization of 3535 in exponential form is:

3535 = 5¹ × 7¹ × 101¹

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 3535

List of positive integer factors of 3535 that divides 3525 without a remainder.

1, 5, 7, 35, 101, 505, 707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3525 and 3535. The biggest common factor number is the GCF number.
So the greatest common factor 3525 and 3535 is 5.

Also check out the Least Common Multiple of 3525 and 3535