What is the Greatest Common Factor of 66258 and 66274?

Greatest common factor (GCF) of 66258 and 66274 is 2.

GCF(66258,66274) = 2

We will now calculate the prime factors of 66258 and 66274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66258 and 66274.

How to find the GCF of 66258 and 66274?

We will first find the prime factorization of 66258 and 66274. After we will calculate the factors of 66258 and 66274 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 66274

Prime factors of 66274 are 2, 13, 2549. Prime factorization of 66274 in exponential form is:

66274 = 2¹ × 13¹ × 2549¹

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 66274

List of positive integer factors of 66274 that divides 66258 without a remainder.

1, 2, 13, 26, 2549, 5098, 33137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66258 and 66274. The biggest common factor number is the GCF number.
So the greatest common factor 66258 and 66274 is 2.

Also check out the Least Common Multiple of 66258 and 66274