What is the Greatest Common Factor of 3534 and 3543?

Greatest common factor (GCF) of 3534 and 3543 is 3.

GCF(3534,3543) = 3

We will now calculate the prime factors of 3534 and 3543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3534 and 3543.

How to find the GCF of 3534 and 3543?

We will first find the prime factorization of 3534 and 3543. After we will calculate the factors of 3534 and 3543 and find the biggest common factor number .

Step-1: Prime Factorization of 3534

Prime factors of 3534 are 2, 3, 19, 31. Prime factorization of 3534 in exponential form is:

3534 = 2¹ × 3¹ × 19¹ × 31¹

Step-2: Prime Factorization of 3543

Prime factors of 3543 are 3, 1181. Prime factorization of 3543 in exponential form is:

3543 = 3¹ × 1181¹

Step-3: Factors of 3534

List of positive integer factors of 3534 that divides 3534 without a remainder.

1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767

Step-4: Factors of 3543

List of positive integer factors of 3543 that divides 3534 without a remainder.

1, 3, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3534 and 3543. The biggest common factor number is the GCF number.
So the greatest common factor 3534 and 3543 is 3.

Also check out the Least Common Multiple of 3534 and 3543