What is the Greatest Common Factor of 6534 and 6546?

Greatest common factor (GCF) of 6534 and 6546 is 6.

GCF(6534,6546) = 6

We will now calculate the prime factors of 6534 and 6546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6534 and 6546.

How to find the GCF of 6534 and 6546?

We will first find the prime factorization of 6534 and 6546. After we will calculate the factors of 6534 and 6546 and find the biggest common factor number .

Step-1: Prime Factorization of 6534

Prime factors of 6534 are 2, 3, 11. Prime factorization of 6534 in exponential form is:

6534 = 2¹ × 3³ × 11²

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 6534

List of positive integer factors of 6534 that divides 6534 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267

Step-4: Factors of 6546

List of positive integer factors of 6546 that divides 6534 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6534 and 6546. The biggest common factor number is the GCF number.
So the greatest common factor 6534 and 6546 is 6.

Also check out the Least Common Multiple of 6534 and 6546