What is the Greatest Common Factor of 66258 and 66268?

Greatest common factor (GCF) of 66258 and 66268 is 2.

GCF(66258,66268) = 2

We will now calculate the prime factors of 66258 and 66268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66258 and 66268.

How to find the GCF of 66258 and 66268?

We will first find the prime factorization of 66258 and 66268. After we will calculate the factors of 66258 and 66268 and find the biggest common factor number .

Step-1: Prime Factorization of 66258

Prime factors of 66258 are 2, 3, 409. Prime factorization of 66258 in exponential form is:

66258 = 2¹ × 3⁴ × 409¹

Step-2: Prime Factorization of 66268

Prime factors of 66268 are 2, 16567. Prime factorization of 66268 in exponential form is:

66268 = 2² × 16567¹

Step-3: Factors of 66258

List of positive integer factors of 66258 that divides 66258 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 409, 818, 1227, 2454, 3681, 7362, 11043, 22086, 33129

Step-4: Factors of 66268

List of positive integer factors of 66268 that divides 66258 without a remainder.

1, 2, 4, 16567, 33134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66258 and 66268. The biggest common factor number is the GCF number.
So the greatest common factor 66258 and 66268 is 2.

Also check out the Least Common Multiple of 66258 and 66268