What is the Greatest Common Factor of 3535 and 3549?

Greatest common factor (GCF) of 3535 and 3549 is 7.

GCF(3535,3549) = 7

We will now calculate the prime factors of 3535 and 3549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3535 and 3549.

How to find the GCF of 3535 and 3549?

We will first find the prime factorization of 3535 and 3549. After we will calculate the factors of 3535 and 3549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3549

Prime factors of 3549 are 3, 7, 13. Prime factorization of 3549 in exponential form is:

3549 = 3¹ × 7¹ × 13²

Step-3: Factors of 3535

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

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

Step-4: Factors of 3549

List of positive integer factors of 3549 that divides 3535 without a remainder.

1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3535 and 3549. The biggest common factor number is the GCF number.
So the greatest common factor 3535 and 3549 is 7.

Also check out the Least Common Multiple of 3535 and 3549