What is the Greatest Common Factor of 3536 and 3541?

Greatest common factor (GCF) of 3536 and 3541 is 1.

GCF(3536,3541) = 1

We will now calculate the prime factors of 3536 and 3541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3536 and 3541.

How to find the GCF of 3536 and 3541?

We will first find the prime factorization of 3536 and 3541. After we will calculate the factors of 3536 and 3541 and find the biggest common factor number .

Step-1: Prime Factorization of 3536

Prime factors of 3536 are 2, 13, 17. Prime factorization of 3536 in exponential form is:

3536 = 2⁴ × 13¹ × 17¹

Step-2: Prime Factorization of 3541

Prime factors of 3541 are 3541. Prime factorization of 3541 in exponential form is:

3541 = 3541¹

Step-3: Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768

Step-4: Factors of 3541

List of positive integer factors of 3541 that divides 3536 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3536 and 3541. The biggest common factor number is the GCF number.
So the greatest common factor 3536 and 3541 is 1.

Also check out the Least Common Multiple of 3536 and 3541