What is the Greatest Common Factor of 66849 and 66861?

Greatest common factor (GCF) of 66849 and 66861 is 3.

GCF(66849,66861) = 3

We will now calculate the prime factors of 66849 and 66861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66849 and 66861.

How to find the GCF of 66849 and 66861?

We will first find the prime factorization of 66849 and 66861. After we will calculate the factors of 66849 and 66861 and find the biggest common factor number .

Step-1: Prime Factorization of 66849

Prime factors of 66849 are 3, 22283. Prime factorization of 66849 in exponential form is:

66849 = 3¹ × 22283¹

Step-2: Prime Factorization of 66861

Prime factors of 66861 are 3, 17, 19, 23. Prime factorization of 66861 in exponential form is:

66861 = 3² × 17¹ × 19¹ × 23¹

Step-3: Factors of 66849

List of positive integer factors of 66849 that divides 66849 without a remainder.

1, 3, 22283

Step-4: Factors of 66861

List of positive integer factors of 66861 that divides 66849 without a remainder.

1, 3, 9, 17, 19, 23, 51, 57, 69, 153, 171, 207, 323, 391, 437, 969, 1173, 1311, 2907, 3519, 3933, 7429, 22287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66849 and 66861. The biggest common factor number is the GCF number.
So the greatest common factor 66849 and 66861 is 3.

Also check out the Least Common Multiple of 66849 and 66861