What is the Greatest Common Factor of 82578 and 82582?

Greatest common factor (GCF) of 82578 and 82582 is 2.

GCF(82578,82582) = 2

We will now calculate the prime factors of 82578 and 82582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82578 and 82582.

How to find the GCF of 82578 and 82582?

We will first find the prime factorization of 82578 and 82582. After we will calculate the factors of 82578 and 82582 and find the biggest common factor number .

Step-1: Prime Factorization of 82578

Prime factors of 82578 are 2, 3, 13763. Prime factorization of 82578 in exponential form is:

82578 = 2¹ × 3¹ × 13763¹

Step-2: Prime Factorization of 82582

Prime factors of 82582 are 2, 157, 263. Prime factorization of 82582 in exponential form is:

82582 = 2¹ × 157¹ × 263¹

Step-3: Factors of 82578

List of positive integer factors of 82578 that divides 82578 without a remainder.

1, 2, 3, 6, 13763, 27526, 41289

Step-4: Factors of 82582

List of positive integer factors of 82582 that divides 82578 without a remainder.

1, 2, 157, 263, 314, 526, 41291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82578 and 82582. The biggest common factor number is the GCF number.
So the greatest common factor 82578 and 82582 is 2.

Also check out the Least Common Multiple of 82578 and 82582