What is the greatest common factor of all numbers?

Answer 1

The greatest common factor of the set of all natural numbers is 1. Just take a small sample of consecutive numbers to compare.

The factors of 2 are 1 and 2.

The factors of 3 are 1 and 3.

The factors of 4 are 1, 2, and 4.

The factors of 5 are 1 and 5.

The only common factor is 1, so the greatest common factor is 1.

Therefore, the only common factor to all numbers is 1. If the greatest common factor of a pair of numbers is 1, any set of numbers including that pair of numbers cannot have a greatest common factor that is larger - it must also be 1.

Here is a larger list of numbers to compare:

The factors of 2 are 1 and 2.

The factors of 3 are 1 and 3.

The factors of 4 are 1, 2, and 4.

The factors of 5 are 1 and 5.

The factors of 6 are 1, 2, 3, and 6.

The factors of 7 are 1 and 7.

The factors of 8 are 1, 2, 4, and 8.

The factors of 9 are 1, 3, and 9.

The factors of 10 are 1, 2, 5, and 10.

The factors of 11 are 1 and 11.

The factors of 12 are 1, 2, 3, 4, 6, and 12.

The factors of 13 are 1 and 13.

The factors of 14 are 1, 2, 7, and 14.

The factors of 15 are 1, 3, 5, and 15.

The only common factor is 1, so the greatest common factor is 1.

Answer 2

Factor each number to its prime factors, look for the prime factors that appear in every single number and eliminate any prime factor tat doesn't appear in each number. Multiply what's left back together and you'll have the GCF.

Answer 3

Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF

Answer 4

List them.

Example: 30 and 42

1,2,3,5,6,10,15,30

1,2,3,6,7,14,21,42

Select the common factors.

1,2,3 and 6, the GCF

Answer 5

It is the highest common factor that will divided into each number with no remainder