What is the Greatest Common Factor of 6546 and 6550?

Greatest common factor (GCF) of 6546 and 6550 is 2.

GCF(6546,6550) = 2

We will now calculate the prime factors of 6546 and 6550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6546 and 6550.

How to find the GCF of 6546 and 6550?

We will first find the prime factorization of 6546 and 6550. After we will calculate the factors of 6546 and 6550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6550

Prime factors of 6550 are 2, 5, 131. Prime factorization of 6550 in exponential form is:

6550 = 2¹ × 5² × 131¹

Step-3: Factors of 6546

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

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

Step-4: Factors of 6550

List of positive integer factors of 6550 that divides 6546 without a remainder.

1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6546 and 6550. The biggest common factor number is the GCF number.
So the greatest common factor 6546 and 6550 is 2.

Also check out the Least Common Multiple of 6546 and 6550