What is the Greatest Common Factor of 10582 and 10588?

Greatest common factor (GCF) of 10582 and 10588 is 2.

GCF(10582,10588) = 2

We will now calculate the prime factors of 10582 and 10588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10582 and 10588.

How to find the GCF of 10582 and 10588?

We will first find the prime factorization of 10582 and 10588. After we will calculate the factors of 10582 and 10588 and find the biggest common factor number .

Step-1: Prime Factorization of 10582

Prime factors of 10582 are 2, 11, 13, 37. Prime factorization of 10582 in exponential form is:

10582 = 2¹ × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 10588

Prime factors of 10588 are 2, 2647. Prime factorization of 10588 in exponential form is:

10588 = 2² × 2647¹

Step-3: Factors of 10582

List of positive integer factors of 10582 that divides 10582 without a remainder.

1, 2, 11, 13, 22, 26, 37, 74, 143, 286, 407, 481, 814, 962, 5291

Step-4: Factors of 10588

List of positive integer factors of 10588 that divides 10582 without a remainder.

1, 2, 4, 2647, 5294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10582 and 10588. The biggest common factor number is the GCF number.
So the greatest common factor 10582 and 10588 is 2.

Also check out the Least Common Multiple of 10582 and 10588