What is the Greatest Common Factor of 6531 and 6546?

Greatest common factor (GCF) of 6531 and 6546 is 3.

GCF(6531,6546) = 3

We will now calculate the prime factors of 6531 and 6546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6531 and 6546.

How to find the GCF of 6531 and 6546?

We will first find the prime factorization of 6531 and 6546. After we will calculate the factors of 6531 and 6546 and find the biggest common factor number .

Step-1: Prime Factorization of 6531

Prime factors of 6531 are 3, 7, 311. Prime factorization of 6531 in exponential form is:

6531 = 3¹ × 7¹ × 311¹

Step-2: Prime Factorization of 6546

Prime factors of 6546 are 2, 3, 1091. Prime factorization of 6546 in exponential form is:

6546 = 2¹ × 3¹ × 1091¹

Step-3: Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1, 3, 7, 21, 311, 933, 2177

Step-4: Factors of 6546

List of positive integer factors of 6546 that divides 6531 without a remainder.

1, 2, 3, 6, 1091, 2182, 3273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6531 and 6546. The biggest common factor number is the GCF number.
So the greatest common factor 6531 and 6546 is 3.

Also check out the Least Common Multiple of 6531 and 6546