What is the Greatest Common Factor of 75286 and 75304?

Greatest common factor (GCF) of 75286 and 75304 is 2.

GCF(75286,75304) = 2

We will now calculate the prime factors of 75286 and 75304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75286 and 75304.

How to find the GCF of 75286 and 75304?

We will first find the prime factorization of 75286 and 75304. After we will calculate the factors of 75286 and 75304 and find the biggest common factor number .

Step-1: Prime Factorization of 75286

Prime factors of 75286 are 2, 37643. Prime factorization of 75286 in exponential form is:

75286 = 2¹ × 37643¹

Step-2: Prime Factorization of 75304

Prime factors of 75304 are 2, 9413. Prime factorization of 75304 in exponential form is:

75304 = 2³ × 9413¹

Step-3: Factors of 75286

List of positive integer factors of 75286 that divides 75286 without a remainder.

1, 2, 37643

Step-4: Factors of 75304

List of positive integer factors of 75304 that divides 75286 without a remainder.

1, 2, 4, 8, 9413, 18826, 37652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75286 and 75304. The biggest common factor number is the GCF number.
So the greatest common factor 75286 and 75304 is 2.

Also check out the Least Common Multiple of 75286 and 75304