What is the Greatest Common Factor of 7440 and 7456?

Greatest common factor (GCF) of 7440 and 7456 is 16.

GCF(7440,7456) = 16

We will now calculate the prime factors of 7440 and 7456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7440 and 7456.

How to find the GCF of 7440 and 7456?

We will first find the prime factorization of 7440 and 7456. After we will calculate the factors of 7440 and 7456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7456

Prime factors of 7456 are 2, 233. Prime factorization of 7456 in exponential form is:

7456 = 2⁵ × 233¹

Step-3: Factors of 7440

List of positive integer factors of 7440 that divides 7440 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

Step-4: Factors of 7456

List of positive integer factors of 7456 that divides 7440 without a remainder.

1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7440 and 7456. The biggest common factor number is the GCF number.
So the greatest common factor 7440 and 7456 is 16.

Also check out the Least Common Multiple of 7440 and 7456