What is the Greatest Common Factor of 7366 and 7382?

Greatest common factor (GCF) of 7366 and 7382 is 2.

GCF(7366,7382) = 2

We will now calculate the prime factors of 7366 and 7382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7366 and 7382.

How to find the GCF of 7366 and 7382?

We will first find the prime factorization of 7366 and 7382. After we will calculate the factors of 7366 and 7382 and find the biggest common factor number .

Step-1: Prime Factorization of 7366

Prime factors of 7366 are 2, 29, 127. Prime factorization of 7366 in exponential form is:

7366 = 2¹ × 29¹ × 127¹

Step-2: Prime Factorization of 7382

Prime factors of 7382 are 2, 3691. Prime factorization of 7382 in exponential form is:

7382 = 2¹ × 3691¹

Step-3: Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1, 2, 29, 58, 127, 254, 3683

Step-4: Factors of 7382

List of positive integer factors of 7382 that divides 7366 without a remainder.

1, 2, 3691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7366 and 7382. The biggest common factor number is the GCF number.
So the greatest common factor 7366 and 7382 is 2.

Also check out the Least Common Multiple of 7366 and 7382