What is the Greatest Common Factor of 7594 and 7600?

Greatest common factor (GCF) of 7594 and 7600 is 2.

GCF(7594,7600) = 2

We will now calculate the prime factors of 7594 and 7600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7594 and 7600.

How to find the GCF of 7594 and 7600?

We will first find the prime factorization of 7594 and 7600. After we will calculate the factors of 7594 and 7600 and find the biggest common factor number .

Step-1: Prime Factorization of 7594

Prime factors of 7594 are 2, 3797. Prime factorization of 7594 in exponential form is:

7594 = 2¹ × 3797¹

Step-2: Prime Factorization of 7600

Prime factors of 7600 are 2, 5, 19. Prime factorization of 7600 in exponential form is:

7600 = 2⁴ × 5² × 19¹

Step-3: Factors of 7594

List of positive integer factors of 7594 that divides 7594 without a remainder.

1, 2, 3797

Step-4: Factors of 7600

List of positive integer factors of 7600 that divides 7594 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7594 and 7600. The biggest common factor number is the GCF number.
So the greatest common factor 7594 and 7600 is 2.

Also check out the Least Common Multiple of 7594 and 7600