What is the Greatest Common Factor of 7374 and 7378?

Greatest common factor (GCF) of 7374 and 7378 is 2.

GCF(7374,7378) = 2

We will now calculate the prime factors of 7374 and 7378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7374 and 7378.

How to find the GCF of 7374 and 7378?

We will first find the prime factorization of 7374 and 7378. After we will calculate the factors of 7374 and 7378 and find the biggest common factor number .

Step-1: Prime Factorization of 7374

Prime factors of 7374 are 2, 3, 1229. Prime factorization of 7374 in exponential form is:

7374 = 2¹ × 3¹ × 1229¹

Step-2: Prime Factorization of 7378

Prime factors of 7378 are 2, 7, 17, 31. Prime factorization of 7378 in exponential form is:

7378 = 2¹ × 7¹ × 17¹ × 31¹

Step-3: Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1, 2, 3, 6, 1229, 2458, 3687

Step-4: Factors of 7378

List of positive integer factors of 7378 that divides 7374 without a remainder.

1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7374 and 7378. The biggest common factor number is the GCF number.
So the greatest common factor 7374 and 7378 is 2.

Also check out the Least Common Multiple of 7374 and 7378