What is the Greatest Common Factor of 66378 and 66398?

Greatest common factor (GCF) of 66378 and 66398 is 2.

GCF(66378,66398) = 2

We will now calculate the prime factors of 66378 and 66398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66378 and 66398.

How to find the GCF of 66378 and 66398?

We will first find the prime factorization of 66378 and 66398. After we will calculate the factors of 66378 and 66398 and find the biggest common factor number .

Step-1: Prime Factorization of 66378

Prime factors of 66378 are 2, 3, 13, 23, 37. Prime factorization of 66378 in exponential form is:

66378 = 2¹ × 3¹ × 13¹ × 23¹ × 37¹

Step-2: Prime Factorization of 66398

Prime factors of 66398 are 2, 33199. Prime factorization of 66398 in exponential form is:

66398 = 2¹ × 33199¹

Step-3: Factors of 66378

List of positive integer factors of 66378 that divides 66378 without a remainder.

1, 2, 3, 6, 13, 23, 26, 37, 39, 46, 69, 74, 78, 111, 138, 222, 299, 481, 598, 851, 897, 962, 1443, 1702, 1794, 2553, 2886, 5106, 11063, 22126, 33189

Step-4: Factors of 66398

List of positive integer factors of 66398 that divides 66378 without a remainder.

1, 2, 33199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66378 and 66398. The biggest common factor number is the GCF number.
So the greatest common factor 66378 and 66398 is 2.

Also check out the Least Common Multiple of 66378 and 66398