What is the Greatest Common Factor of 75588 and 75608?

Greatest common factor (GCF) of 75588 and 75608 is 4.

GCF(75588,75608) = 4

We will now calculate the prime factors of 75588 and 75608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75588 and 75608.

How to find the GCF of 75588 and 75608?

We will first find the prime factorization of 75588 and 75608. After we will calculate the factors of 75588 and 75608 and find the biggest common factor number .

Step-1: Prime Factorization of 75588

Prime factors of 75588 are 2, 3, 6299. Prime factorization of 75588 in exponential form is:

75588 = 2² × 3¹ × 6299¹

Step-2: Prime Factorization of 75608

Prime factors of 75608 are 2, 13, 727. Prime factorization of 75608 in exponential form is:

75608 = 2³ × 13¹ × 727¹

Step-3: Factors of 75588

List of positive integer factors of 75588 that divides 75588 without a remainder.

1, 2, 3, 4, 6, 12, 6299, 12598, 18897, 25196, 37794

Step-4: Factors of 75608

List of positive integer factors of 75608 that divides 75588 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 727, 1454, 2908, 5816, 9451, 18902, 37804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75588 and 75608. The biggest common factor number is the GCF number.
So the greatest common factor 75588 and 75608 is 4.

Also check out the Least Common Multiple of 75588 and 75608