# totient of 12

Calculate φ(12)

## Calculate factors for 12

Factors for 12 are 1,2,3,4,6,12

## Factors < 12 with 1 as common factor

#Factor ListMatching Factors Totient List?
111Y
21,21,2N
31,31,3N
41,2,41,2,4N
51,51Y
61,2,3,61,2,3,6N
71,71Y
81,2,4,81,2,4N
91,3,91,3N
101,2,5,101,2N
111,111Y

Build totient list
1,5,7,11
φ(12) = 4

φ(12) = 4

### How does the Eulers Totient (φ) Calculator work?

Given a positive integer (n), this calculates Euler‘s totient, also known as φ
This calculator has 1 input.

### What 1 formula is used for the Eulers Totient (φ) Calculator?

1. φ(n) = All numbers less than n which only have 1 as a common factor

For more math formulas, check out our Formula Dossier

### What 5 concepts are covered in the Eulers Totient (φ) Calculator?

eulers totient (φ)
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
phi
A letter of the greek alphabet used for math notation.
Φ  φ
prime number
a natural number greater than 1 that is not a product of two smaller natural numbers.
totient
The number of positive integers not greater than a specified integer that are relatively prime to it