What is the Greatest Common Factor of 66325 and 66339?

Greatest common factor (GCF) of 66325 and 66339 is 7.

GCF(66325,66339) = 7

We will now calculate the prime factors of 66325 and 66339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66325 and 66339.

How to find the GCF of 66325 and 66339?

We will first find the prime factorization of 66325 and 66339. After we will calculate the factors of 66325 and 66339 and find the biggest common factor number .

Step-1: Prime Factorization of 66325

Prime factors of 66325 are 5, 7, 379. Prime factorization of 66325 in exponential form is:

66325 = 5² × 7¹ × 379¹

Step-2: 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-3: Factors of 66325

List of positive integer factors of 66325 that divides 66325 without a remainder.

1, 5, 7, 25, 35, 175, 379, 1895, 2653, 9475, 13265

Step-4: Factors of 66339

List of positive integer factors of 66339 that divides 66325 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66325 and 66339. The biggest common factor number is the GCF number.
So the greatest common factor 66325 and 66339 is 7.

Also check out the Least Common Multiple of 66325 and 66339