What is the Greatest Common Factor of 7338 and 7348?

Greatest common factor (GCF) of 7338 and 7348 is 2.

GCF(7338,7348) = 2

We will now calculate the prime factors of 7338 and 7348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7338 and 7348.

How to find the GCF of 7338 and 7348?

We will first find the prime factorization of 7338 and 7348. After we will calculate the factors of 7338 and 7348 and find the biggest common factor number .

Step-1: Prime Factorization of 7338

Prime factors of 7338 are 2, 3, 1223. Prime factorization of 7338 in exponential form is:

7338 = 2¹ × 3¹ × 1223¹

Step-2: Prime Factorization of 7348

Prime factors of 7348 are 2, 11, 167. Prime factorization of 7348 in exponential form is:

7348 = 2² × 11¹ × 167¹

Step-3: Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1, 2, 3, 6, 1223, 2446, 3669

Step-4: Factors of 7348

List of positive integer factors of 7348 that divides 7338 without a remainder.

1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7338 and 7348. The biggest common factor number is the GCF number.
So the greatest common factor 7338 and 7348 is 2.

Also check out the Least Common Multiple of 7338 and 7348