What is the Greatest Common Factor of 75484 and 75488?

Greatest common factor (GCF) of 75484 and 75488 is 4.

GCF(75484,75488) = 4

We will now calculate the prime factors of 75484 and 75488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75484 and 75488.

How to find the GCF of 75484 and 75488?

We will first find the prime factorization of 75484 and 75488. After we will calculate the factors of 75484 and 75488 and find the biggest common factor number .

Step-1: Prime Factorization of 75484

Prime factors of 75484 are 2, 113, 167. Prime factorization of 75484 in exponential form is:

75484 = 2² × 113¹ × 167¹

Step-2: 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-3: Factors of 75484

List of positive integer factors of 75484 that divides 75484 without a remainder.

1, 2, 4, 113, 167, 226, 334, 452, 668, 18871, 37742

Step-4: Factors of 75488

List of positive integer factors of 75488 that divides 75484 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75484 and 75488. The biggest common factor number is the GCF number.
So the greatest common factor 75484 and 75488 is 4.

Also check out the Least Common Multiple of 75484 and 75488