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What is the GCF of 9 and 0?

Answer: The GCF of 9 and 0 is 9

Rules for GCF Involving Zero

  • The divisors of the given number (e.g. n1) are all numbers that can divide n1 without leaving a remainder.
  • Zero is divisible by any integer.
  • Therefore, the set of common divisors of 0 and n1 is exactly the set of divisors of n1.
  1. Divisors of Zero:
    • Every integer divides zero. This is because zero divided by any integer is zero (i.e., 0 ÷ 9 = 0 for any integer).
  2. Divisors of a Non-Zero Number:
    • Divisors of 9: 1, 3, 9
  3. Common Divisors:
    • The common divisors of 0 and 9 are the divisors of 9 since every integer divides 0.

Greatest Common Divisor:

The largest number in the list of common divisors is 9 itself. Hence, the GCF of 0 and 9 is 9.

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