What is the Greatest Common Factor of 66549 and 66556?

Greatest common factor (GCF) of 66549 and 66556 is 7.

GCF(66549,66556) = 7

We will now calculate the prime factors of 66549 and 66556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66549 and 66556.

How to find the GCF of 66549 and 66556?

We will first find the prime factorization of 66549 and 66556. After we will calculate the factors of 66549 and 66556 and find the biggest common factor number .

Step-1: Prime Factorization of 66549

Prime factors of 66549 are 3, 7, 3169. Prime factorization of 66549 in exponential form is:

66549 = 3¹ × 7¹ × 3169¹

Step-2: Prime Factorization of 66556

Prime factors of 66556 are 2, 7, 2377. Prime factorization of 66556 in exponential form is:

66556 = 2² × 7¹ × 2377¹

Step-3: Factors of 66549

List of positive integer factors of 66549 that divides 66549 without a remainder.

1, 3, 7, 21, 3169, 9507, 22183

Step-4: Factors of 66556

List of positive integer factors of 66556 that divides 66549 without a remainder.

1, 2, 4, 7, 14, 28, 2377, 4754, 9508, 16639, 33278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66549 and 66556. The biggest common factor number is the GCF number.
So the greatest common factor 66549 and 66556 is 7.

Also check out the Least Common Multiple of 66549 and 66556