What is the Greatest Common Factor of 7428 and 7440?

Greatest common factor (GCF) of 7428 and 7440 is 12.

GCF(7428,7440) = 12

We will now calculate the prime factors of 7428 and 7440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7428 and 7440.

How to find the GCF of 7428 and 7440?

We will first find the prime factorization of 7428 and 7440. After we will calculate the factors of 7428 and 7440 and find the biggest common factor number .

Step-1: Prime Factorization of 7428

Prime factors of 7428 are 2, 3, 619. Prime factorization of 7428 in exponential form is:

7428 = 2² × 3¹ × 619¹

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 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714

Step-4: Factors of 7440

List of positive integer factors of 7440 that divides 7428 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 7428 and 7440. The biggest common factor number is the GCF number.
So the greatest common factor 7428 and 7440 is 12.

Also check out the Least Common Multiple of 7428 and 7440