What is the Greatest Common Factor of 7448 and 7457?

Greatest common factor (GCF) of 7448 and 7457 is 1.

GCF(7448,7457) = 1

We will now calculate the prime factors of 7448 and 7457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7448 and 7457.

How to find the GCF of 7448 and 7457?

We will first find the prime factorization of 7448 and 7457. After we will calculate the factors of 7448 and 7457 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 7457

Prime factors of 7457 are 7457. Prime factorization of 7457 in exponential form is:

7457 = 7457¹

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 7457

List of positive integer factors of 7457 that divides 7448 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7448 and 7457. The biggest common factor number is the GCF number.
So the greatest common factor 7448 and 7457 is 1.

Also check out the Least Common Multiple of 7448 and 7457