What is the Greatest Common Factor of 66339 and 66354?

Greatest common factor (GCF) of 66339 and 66354 is 3.

GCF(66339,66354) = 3

We will now calculate the prime factors of 66339 and 66354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66339 and 66354.

How to find the GCF of 66339 and 66354?

We will first find the prime factorization of 66339 and 66354. After we will calculate the factors of 66339 and 66354 and find the biggest common factor number .

Step-1: Prime Factorization of 66339

Prime factors of 66339 are 3, 7, 13. Prime factorization of 66339 in exponential form is:

66339 = 3⁶ × 7¹ × 13¹

Step-2: Prime Factorization of 66354

Prime factors of 66354 are 2, 3, 11059. Prime factorization of 66354 in exponential form is:

66354 = 2¹ × 3¹ × 11059¹

Step-3: Factors of 66339

List of positive integer factors of 66339 that divides 66339 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 243, 273, 351, 567, 729, 819, 1053, 1701, 2457, 3159, 5103, 7371, 9477, 22113

Step-4: Factors of 66354

List of positive integer factors of 66354 that divides 66339 without a remainder.

1, 2, 3, 6, 11059, 22118, 33177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66339 and 66354. The biggest common factor number is the GCF number.
So the greatest common factor 66339 and 66354 is 3.

Also check out the Least Common Multiple of 66339 and 66354