What is the Greatest Common Factor of 7380 and 7400?

Greatest common factor (GCF) of 7380 and 7400 is 20.

GCF(7380,7400) = 20

We will now calculate the prime factors of 7380 and 7400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7380 and 7400.

How to find the GCF of 7380 and 7400?

We will first find the prime factorization of 7380 and 7400. After we will calculate the factors of 7380 and 7400 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 7400

Prime factors of 7400 are 2, 5, 37. Prime factorization of 7400 in exponential form is:

7400 = 2³ × 5² × 37¹

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 7400

List of positive integer factors of 7400 that divides 7380 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7380 and 7400. The biggest common factor number is the GCF number.
So the greatest common factor 7380 and 7400 is 20.

Also check out the Least Common Multiple of 7380 and 7400