What is the Greatest Common Factor of 7456 and 7464?

Greatest common factor (GCF) of 7456 and 7464 is 8.

GCF(7456,7464) = 8

We will now calculate the prime factors of 7456 and 7464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7464.

How to find the GCF of 7456 and 7464?

We will first find the prime factorization of 7456 and 7464. After we will calculate the factors of 7456 and 7464 and find the biggest common factor number .

Step-1: Prime Factorization of 7456

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

7456 = 2⁵ × 233¹

Step-2: Prime Factorization of 7464

Prime factors of 7464 are 2, 3, 311. Prime factorization of 7464 in exponential form is:

7464 = 2³ × 3¹ × 311¹

Step-3: Factors of 7456

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

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

Step-4: Factors of 7464

List of positive integer factors of 7464 that divides 7456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7464. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7464 is 8.

Also check out the Least Common Multiple of 7456 and 7464