What is the Greatest Common Factor of 7380 and 7396?

Greatest common factor (GCF) of 7380 and 7396 is 4.

GCF(7380,7396) = 4

We will now calculate the prime factors of 7380 and 7396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7380 and 7396.

How to find the GCF of 7380 and 7396?

We will first find the prime factorization of 7380 and 7396. After we will calculate the factors of 7380 and 7396 and find the biggest common factor number .

Step-1: Prime Factorization of 7380

Prime factors of 7380 are 2, 3, 5, 41. Prime factorization of 7380 in exponential form is:

7380 = 2² × 3² × 5¹ × 41¹

Step-2: Prime Factorization of 7396

Prime factors of 7396 are 2, 43. Prime factorization of 7396 in exponential form is:

7396 = 2² × 43²

Step-3: Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690

Step-4: Factors of 7396

List of positive integer factors of 7396 that divides 7380 without a remainder.

1, 2, 4, 43, 86, 172, 1849, 3698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7380 and 7396. The biggest common factor number is the GCF number.
So the greatest common factor 7380 and 7396 is 4.

Also check out the Least Common Multiple of 7380 and 7396