What is the Greatest Common Factor of 12578 and 12582?

Greatest common factor (GCF) of 12578 and 12582 is 2.

GCF(12578,12582) = 2

We will now calculate the prime factors of 12578 and 12582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12578 and 12582.

How to find the GCF of 12578 and 12582?

We will first find the prime factorization of 12578 and 12582. After we will calculate the factors of 12578 and 12582 and find the biggest common factor number .

Step-1: Prime Factorization of 12578

Prime factors of 12578 are 2, 19, 331. Prime factorization of 12578 in exponential form is:

12578 = 2¹ × 19¹ × 331¹

Step-2: Prime Factorization of 12582

Prime factors of 12582 are 2, 3, 233. Prime factorization of 12582 in exponential form is:

12582 = 2¹ × 3³ × 233¹

Step-3: Factors of 12578

List of positive integer factors of 12578 that divides 12578 without a remainder.

1, 2, 19, 38, 331, 662, 6289

Step-4: Factors of 12582

List of positive integer factors of 12582 that divides 12578 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 233, 466, 699, 1398, 2097, 4194, 6291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12578 and 12582. The biggest common factor number is the GCF number.
So the greatest common factor 12578 and 12582 is 2.

Also check out the Least Common Multiple of 12578 and 12582