What is the Greatest Common Factor of 7378 and 7386?

Greatest common factor (GCF) of 7378 and 7386 is 2.

GCF(7378,7386) = 2

We will now calculate the prime factors of 7378 and 7386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7378 and 7386.

How to find the GCF of 7378 and 7386?

We will first find the prime factorization of 7378 and 7386. After we will calculate the factors of 7378 and 7386 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7386

Prime factors of 7386 are 2, 3, 1231. Prime factorization of 7386 in exponential form is:

7386 = 2¹ × 3¹ × 1231¹

Step-3: Factors of 7378

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

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

Step-4: Factors of 7386

List of positive integer factors of 7386 that divides 7378 without a remainder.

1, 2, 3, 6, 1231, 2462, 3693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7378 and 7386. The biggest common factor number is the GCF number.
So the greatest common factor 7378 and 7386 is 2.

Also check out the Least Common Multiple of 7378 and 7386