What is the Greatest Common Factor of 30582 and 30588?

Greatest common factor (GCF) of 30582 and 30588 is 6.

GCF(30582,30588) = 6

We will now calculate the prime factors of 30582 and 30588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30582 and 30588.

How to find the GCF of 30582 and 30588?

We will first find the prime factorization of 30582 and 30588. After we will calculate the factors of 30582 and 30588 and find the biggest common factor number .

Step-1: Prime Factorization of 30582

Prime factors of 30582 are 2, 3, 1699. Prime factorization of 30582 in exponential form is:

30582 = 2¹ × 3² × 1699¹

Step-2: Prime Factorization of 30588

Prime factors of 30588 are 2, 3, 2549. Prime factorization of 30588 in exponential form is:

30588 = 2² × 3¹ × 2549¹

Step-3: Factors of 30582

List of positive integer factors of 30582 that divides 30582 without a remainder.

1, 2, 3, 6, 9, 18, 1699, 3398, 5097, 10194, 15291

Step-4: Factors of 30588

List of positive integer factors of 30588 that divides 30582 without a remainder.

1, 2, 3, 4, 6, 12, 2549, 5098, 7647, 10196, 15294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30582 and 30588. The biggest common factor number is the GCF number.
So the greatest common factor 30582 and 30588 is 6.

Also check out the Least Common Multiple of 30582 and 30588