What is the Greatest Common Factor of 76582 and 76600?

Greatest common factor (GCF) of 76582 and 76600 is 2.

GCF(76582,76600) = 2

We will now calculate the prime factors of 76582 and 76600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76582 and 76600.

How to find the GCF of 76582 and 76600?

We will first find the prime factorization of 76582 and 76600. After we will calculate the factors of 76582 and 76600 and find the biggest common factor number .

Step-1: Prime Factorization of 76582

Prime factors of 76582 are 2, 11, 59. Prime factorization of 76582 in exponential form is:

76582 = 2¹ × 11¹ × 59²

Step-2: Prime Factorization of 76600

Prime factors of 76600 are 2, 5, 383. Prime factorization of 76600 in exponential form is:

76600 = 2³ × 5² × 383¹

Step-3: Factors of 76582

List of positive integer factors of 76582 that divides 76582 without a remainder.

1, 2, 11, 22, 59, 118, 649, 1298, 3481, 6962, 38291

Step-4: Factors of 76600

List of positive integer factors of 76600 that divides 76582 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 383, 766, 1532, 1915, 3064, 3830, 7660, 9575, 15320, 19150, 38300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76582 and 76600. The biggest common factor number is the GCF number.
So the greatest common factor 76582 and 76600 is 2.

Also check out the Least Common Multiple of 76582 and 76600