What is the greatest common factor of 36 and 42?

Answer 1

The greatest common factor (gcf) of 36 and 42 is 6.

7*6 = 42. 7 is prime, and since 6 is a factor of 36, this means 6 must be the GCF. we first decompose the two numbers (36 and 42) is products of prime numbers (this decomposition is unique)

36 = 6*6 = 2*3*2*3

42 = 6*7 = 2*3*7

The numbers we see in both decomposition are 2 and 3, so the highest common factor is 2 x 3 = 6

To explain why you get an answer of 6, I will show you.

You should list the factors of 36 and then 42.

The factors of 36 are 1, 2, 3, 4, 9, 12, 18, and 36.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

So the common factors of 36 and 42 are 1, 2, 3, and 6. So because 6 is the largest of the numbers, the GCF (Greatest common factor) of 36 and 42 would be 6.
The GCF is 6.

The greatest common factor of 36 and 42 is 6

Answer 2

Oh, dude, the greatest common factor of 36 and 42 is like the largest number that can divide both of them without leaving a remainder. So, when you look at 36 and 42, you can see that they both can be divided by 6. So, the greatest common factor is 6. Easy peasy lemon squeezy.

Answer 3

Oh, honey, the greatest common factor of 36 and 42 is 6. It's like finding the common ground between two frenemies - they both have a little crush on 6. So, grab that 6 and strut your stuff because it's the boss of both 36 and 42.

Answer 4

The greatest common factor (GCF) of 36 and 42 is the largest number that divides both 36 and 42 without leaving a remainder. To find the GCF, we need to identify the common factors of 36 and 42, which are 1, 2, 3, and 6. The largest number among these common factors is 6, so the GCF of 36 and 42 is 6.

Answer 5

GCF(36, 42) = 6.

Answer 6

6