What is the Greatest Common Factor of 30654 and 30664?

Greatest common factor (GCF) of 30654 and 30664 is 2.

GCF(30654,30664) = 2

We will now calculate the prime factors of 30654 and 30664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30654 and 30664.

How to find the GCF of 30654 and 30664?

We will first find the prime factorization of 30654 and 30664. After we will calculate the factors of 30654 and 30664 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 30664

Prime factors of 30664 are 2, 3833. Prime factorization of 30664 in exponential form is:

30664 = 2³ × 3833¹

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 30664

List of positive integer factors of 30664 that divides 30654 without a remainder.

1, 2, 4, 8, 3833, 7666, 15332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30654 and 30664. The biggest common factor number is the GCF number.
So the greatest common factor 30654 and 30664 is 2.

Also check out the Least Common Multiple of 30654 and 30664