What is the Greatest Common Factor of 30574 and 30582?

Greatest common factor (GCF) of 30574 and 30582 is 2.

GCF(30574,30582) = 2

We will now calculate the prime factors of 30574 and 30582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30574 and 30582.

How to find the GCF of 30574 and 30582?

We will first find the prime factorization of 30574 and 30582. After we will calculate the factors of 30574 and 30582 and find the biggest common factor number .

Step-1: Prime Factorization of 30574

Prime factors of 30574 are 2, 15287. Prime factorization of 30574 in exponential form is:

30574 = 2¹ × 15287¹

Step-2: 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-3: Factors of 30574

List of positive integer factors of 30574 that divides 30574 without a remainder.

1, 2, 15287

Step-4: Factors of 30582

List of positive integer factors of 30582 that divides 30574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30574 and 30582. The biggest common factor number is the GCF number.
So the greatest common factor 30574 and 30582 is 2.

Also check out the Least Common Multiple of 30574 and 30582