What is the Greatest Common Factor of 66374 and 66378?

Greatest common factor (GCF) of 66374 and 66378 is 2.

GCF(66374,66378) = 2

We will now calculate the prime factors of 66374 and 66378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66374 and 66378.

How to find the GCF of 66374 and 66378?

We will first find the prime factorization of 66374 and 66378. After we will calculate the factors of 66374 and 66378 and find the biggest common factor number .

Step-1: Prime Factorization of 66374

Prime factors of 66374 are 2, 7, 11, 431. Prime factorization of 66374 in exponential form is:

66374 = 2¹ × 7¹ × 11¹ × 431¹

Step-2: 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-3: Factors of 66374

List of positive integer factors of 66374 that divides 66374 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 431, 862, 3017, 4741, 6034, 9482, 33187

Step-4: Factors of 66378

List of positive integer factors of 66378 that divides 66374 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66374 and 66378. The biggest common factor number is the GCF number.
So the greatest common factor 66374 and 66378 is 2.

Also check out the Least Common Multiple of 66374 and 66378