What is the Greatest Common Factor of 30654 and 30658?

Greatest common factor (GCF) of 30654 and 30658 is 2.

GCF(30654,30658) = 2

We will now calculate the prime factors of 30654 and 30658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30654 and 30658.

How to find the GCF of 30654 and 30658?

We will first find the prime factorization of 30654 and 30658. After we will calculate the factors of 30654 and 30658 and find the biggest common factor number .

Step-1: Prime Factorization of 30654

Prime factors of 30654 are 2, 3, 13, 131. Prime factorization of 30654 in exponential form is:

30654 = 2¹ × 3² × 13¹ × 131¹

Step-2: Prime Factorization of 30658

Prime factors of 30658 are 2, 15329. Prime factorization of 30658 in exponential form is:

30658 = 2¹ × 15329¹

Step-3: Factors of 30654

List of positive integer factors of 30654 that divides 30654 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 131, 234, 262, 393, 786, 1179, 1703, 2358, 3406, 5109, 10218, 15327

Step-4: Factors of 30658

List of positive integer factors of 30658 that divides 30654 without a remainder.

1, 2, 15329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30654 and 30658. The biggest common factor number is the GCF number.
So the greatest common factor 30654 and 30658 is 2.

Also check out the Least Common Multiple of 30654 and 30658