What is the Greatest Common Factor of 7400 and 7410?

Greatest common factor (GCF) of 7400 and 7410 is 10.

GCF(7400,7410) = 10

We will now calculate the prime factors of 7400 and 7410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7400 and 7410.

How to find the GCF of 7400 and 7410?

We will first find the prime factorization of 7400 and 7410. After we will calculate the factors of 7400 and 7410 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7410

Prime factors of 7410 are 2, 3, 5, 13, 19. Prime factorization of 7410 in exponential form is:

7410 = 2¹ × 3¹ × 5¹ × 13¹ × 19¹

Step-3: Factors of 7400

List of positive integer factors of 7400 that divides 7400 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

Step-4: Factors of 7410

List of positive integer factors of 7410 that divides 7400 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7400 and 7410. The biggest common factor number is the GCF number.
So the greatest common factor 7400 and 7410 is 10.

Also check out the Least Common Multiple of 7400 and 7410