What is the Greatest Common Factor of 76578 and 76582?

Greatest common factor (GCF) of 76578 and 76582 is 2.

GCF(76578,76582) = 2

We will now calculate the prime factors of 76578 and 76582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76578 and 76582.

How to find the GCF of 76578 and 76582?

We will first find the prime factorization of 76578 and 76582. After we will calculate the factors of 76578 and 76582 and find the biggest common factor number .

Step-1: Prime Factorization of 76578

Prime factors of 76578 are 2, 3, 12763. Prime factorization of 76578 in exponential form is:

76578 = 2¹ × 3¹ × 12763¹

Step-2: 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-3: Factors of 76578

List of positive integer factors of 76578 that divides 76578 without a remainder.

1, 2, 3, 6, 12763, 25526, 38289

Step-4: Factors of 76582

List of positive integer factors of 76582 that divides 76578 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76578 and 76582. The biggest common factor number is the GCF number.
So the greatest common factor 76578 and 76582 is 2.

Also check out the Least Common Multiple of 76578 and 76582