What is the Greatest Common Factor of 7456 and 7472?

Greatest common factor (GCF) of 7456 and 7472 is 16.

GCF(7456,7472) = 16

We will now calculate the prime factors of 7456 and 7472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7472.

How to find the GCF of 7456 and 7472?

We will first find the prime factorization of 7456 and 7472. After we will calculate the factors of 7456 and 7472 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 7472

Prime factors of 7472 are 2, 467. Prime factorization of 7472 in exponential form is:

7472 = 2⁴ × 467¹

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 7472

List of positive integer factors of 7472 that divides 7456 without a remainder.

1, 2, 4, 8, 16, 467, 934, 1868, 3736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7472. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7472 is 16.

Also check out the Least Common Multiple of 7456 and 7472