What is the gcf of 16 and 30

Factors of 16:

1, 16, 2, 8, 4

Factors of 30:
1, 30, 2, 15, 3, 10, 5, 6

What is the larges number that appears on both lists?

http://www.mathsisfun.com/greatest-common-factor.html

The Greatest Common Factor (GCF) of 16 and 30 is the number of times I hide when someone wants to party. Just kidding! The GCF of 16 and 30 is 2. It's like finding a comedian in a crowd of serious mathematicians.

To find the greatest common factor (GCF) of 16 and 30, we can use several methods.

One common method is to list the factors of both numbers and identify the greatest factor that they have in common.

Factors of 16: 1, 2, 4, 8, 16
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

From the lists of factors, we can see that the highest common factor is 2. Therefore, the GCF of 16 and 30 is 2.

Another method to find the GCF is to use prime factorization.

The prime factorization of 16 is 2 * 2 * 2 * 2 = 2^4.
The prime factorization of 30 is 2 * 3 * 5 = 2 * 3 * 5.

Comparing the prime factorizations, we can identify the highest exponent for each prime factor that appears in both numbers. In this case, the common factor is 2, as it appears with an exponent of 1 in 30 and an exponent of 4 in 16.

Therefore, the GCF of 16 and 30 is 2.

To find the greatest common factor (GCF) of 16 and 30, we can start by listing the factors of each number.

Factors of 16: 1, 2, 4, 8, 16
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors of 16 and 30 are 1 and 2. The greatest common factor is the largest number that they have in common, which in this case is 2.

Therefore, the GCF of 16 and 30 is 2.