What is the Greatest Common Factor of 7430 and 7440?

Greatest common factor (GCF) of 7430 and 7440 is 10.

GCF(7430,7440) = 10

We will now calculate the prime factors of 7430 and 7440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7430 and 7440.

How to find the GCF of 7430 and 7440?

We will first find the prime factorization of 7430 and 7440. After we will calculate the factors of 7430 and 7440 and find the biggest common factor number .

Step-1: Prime Factorization of 7430

Prime factors of 7430 are 2, 5, 743. Prime factorization of 7430 in exponential form is:

7430 = 2¹ × 5¹ × 743¹

Step-2: Prime Factorization of 7440

Prime factors of 7440 are 2, 3, 5, 31. Prime factorization of 7440 in exponential form is:

7440 = 2⁴ × 3¹ × 5¹ × 31¹

Step-3: Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1, 2, 5, 10, 743, 1486, 3715

Step-4: Factors of 7440

List of positive integer factors of 7440 that divides 7430 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7430 and 7440. The biggest common factor number is the GCF number.
So the greatest common factor 7430 and 7440 is 10.

Also check out the Least Common Multiple of 7430 and 7440