What is the Greatest Common Factor of 75488 and 75493?

Greatest common factor (GCF) of 75488 and 75493 is 1.

GCF(75488,75493) = 1

We will now calculate the prime factors of 75488 and 75493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75488 and 75493.

How to find the GCF of 75488 and 75493?

We will first find the prime factorization of 75488 and 75493. After we will calculate the factors of 75488 and 75493 and find the biggest common factor number .

Step-1: Prime Factorization of 75488

Prime factors of 75488 are 2, 7, 337. Prime factorization of 75488 in exponential form is:

75488 = 2⁵ × 7¹ × 337¹

Step-2: Prime Factorization of 75493

Prime factors of 75493 are 11, 6863. Prime factorization of 75493 in exponential form is:

75493 = 11¹ × 6863¹

Step-3: Factors of 75488

List of positive integer factors of 75488 that divides 75488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 337, 674, 1348, 2359, 2696, 4718, 5392, 9436, 10784, 18872, 37744

Step-4: Factors of 75493

List of positive integer factors of 75493 that divides 75488 without a remainder.

1, 11, 6863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75488 and 75493. The biggest common factor number is the GCF number.
So the greatest common factor 75488 and 75493 is 1.

Also check out the Least Common Multiple of 75488 and 75493