What is the Greatest Common Factor of 82582 and 82598?

Greatest common factor (GCF) of 82582 and 82598 is 2.

GCF(82582,82598) = 2

We will now calculate the prime factors of 82582 and 82598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82582 and 82598.

How to find the GCF of 82582 and 82598?

We will first find the prime factorization of 82582 and 82598. After we will calculate the factors of 82582 and 82598 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82598

Prime factors of 82598 are 2, 41299. Prime factorization of 82598 in exponential form is:

82598 = 2¹ × 41299¹

Step-3: Factors of 82582

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

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

Step-4: Factors of 82598

List of positive integer factors of 82598 that divides 82582 without a remainder.

1, 2, 41299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82582 and 82598. The biggest common factor number is the GCF number.
So the greatest common factor 82582 and 82598 is 2.

Also check out the Least Common Multiple of 82582 and 82598