What is the Greatest Common Factor of 75488 and 75496?

Greatest common factor (GCF) of 75488 and 75496 is 8.

GCF(75488,75496) = 8

We will now calculate the prime factors of 75488 and 75496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75488 and 75496.

How to find the GCF of 75488 and 75496?

We will first find the prime factorization of 75488 and 75496. After we will calculate the factors of 75488 and 75496 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 75496

Prime factors of 75496 are 2, 9437. Prime factorization of 75496 in exponential form is:

75496 = 2³ × 9437¹

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 75496

List of positive integer factors of 75496 that divides 75488 without a remainder.

1, 2, 4, 8, 9437, 18874, 37748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75488 and 75496. The biggest common factor number is the GCF number.
So the greatest common factor 75488 and 75496 is 8.

Also check out the Least Common Multiple of 75488 and 75496