What is the Greatest Common Factor of 7448 and 7456?

Greatest common factor (GCF) of 7448 and 7456 is 8.

GCF(7448,7456) = 8

We will now calculate the prime factors of 7448 and 7456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7448 and 7456.

How to find the GCF of 7448 and 7456?

We will first find the prime factorization of 7448 and 7456. After we will calculate the factors of 7448 and 7456 and find the biggest common factor number .

Step-1: Prime Factorization of 7448

Prime factors of 7448 are 2, 7, 19. Prime factorization of 7448 in exponential form is:

7448 = 2³ × 7² × 19¹

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 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724

Step-4: Factors of 7456

List of positive integer factors of 7456 that divides 7448 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 7448 and 7456. The biggest common factor number is the GCF number.
So the greatest common factor 7448 and 7456 is 8.

Also check out the Least Common Multiple of 7448 and 7456