import java.io.*; import java.util.*; import java.util.stream.*; public class Main { public static void main(String[] args) throws Exception { Scanner sc = new Scanner(); long n = sc.nextLong(); long k = sc.nextLong(); long m = sc.nextLong(); HashMap contents = new HashMap<>(); for (long i = 2; i <= Math.sqrt(m); i++) { while (m % i == 0) { contents.put(i, contents.getOrDefault(i, 0) + 1); m /= i; } } if (m > 1) { contents.put(m, 1); } HashMap child = getMap(n, contents); HashMap mother = getMap(k, contents); HashMap father = getMap(n - k, contents); long ans = Long.MAX_VALUE; for (long x : contents.keySet()) { ans = Math.min(ans, (child.get(x) - mother.get(x) - father.get(x)) / contents.get(x)); } System.out.println(ans); } static HashMap getMap(long value, HashMap base) { HashMap ans = new HashMap<>(); for (long x : base.keySet()) { long current = x; long count = 0; while (true) { count += value / current; if (value / x < current) { break; } current *= x; } ans.put(x, count); } return ans; } } class Utilities { static String arrayToLineString(Object[] arr) { return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n")); } static String arrayToLineString(int[] arr) { return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new)); } } class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); StringBuilder sb = new StringBuilder(); public Scanner() throws Exception { } public int nextInt() throws Exception { return Integer.parseInt(next()); } public long nextLong() throws Exception { return Long.parseLong(next()); } public double nextDouble() throws Exception { return Double.parseDouble(next()); } public int[] nextIntArray() throws Exception { return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray(); } public String next() throws Exception { while (!st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }