what is the greatest common factor of 6 and 9

GCF of 6 and 9GCF of 6 and 9 is the largest number that can be divided by 6 and 9 exactly without remainder. The factors of 6 and 9 are 1, 2, 3, 6 and 1, 3, 9 respectively. There are 3 commonly used methods to find the GCF of 6 and 9 – Euclidean algorithm, prime factorization and operations long division. 1. GCF of 6 and 9 2. List of methods 3. Solved examples 4. FAQAnswer: The GCF of 6 and 9 is 3. Read: what is the greatest common factor of 6 and 9 Explanation: Read more: Jack Gilinsky Snapchat | The GCF leading Q&A of two non-zero integers 0, x (6) and y (9), is the largest positive integer m (3) that divides both x (6) and y (9) without any part any residual. method to find GCF of 6 and 9.

  • List common factors
  • Long division method
  • The prime factorization method

GCF of 6 and 9 by List of Common Factors

  • Factor 6: 1, 2, 3, 6
  • Factor 9: 1, 3, 9

There are 2 common factors of 6 and 9, which are 1 and 3. Therefore, the greatest common factor of 6 and 9 is 3.

GCF of 6 and 9 by Long Division

GCF of 6 and 9 by Long DivisionRead more: Elements of 420 | The leading Q&AGCF of 6 and 9 is the divisor we get when the remainder becomes 0 after doing many long divisions.

  • Step 1: Divide 9 (larger number) by 6 (smaller number).
  • Step 2: Since the remainder is ≠ 0, we will divide the divisor of step 1 (6) by the remainder (3).
  • Step 3: Repeat this process until remainder = 0.

The corresponding divisor (3) is the GCF of 6 and 9.

GCF of 6 and 9 as prime factors

GCF of 6 and 9 as prime factorsThe prime factors of 6 and 9 are (2 × 3) and (3 × 3), respectively. As can be seen, 6 and 9 have only one common prime factor, i.e. 3. Therefore, the GCF of 6 and 9 is 3.☛ Also check:Read more: What color do orange and blue make?

  • GCF of 64 and 96 = 32
  • GCF of 9 and 10 = 1
  • GCF is 56 and 98 = 14
  • GCF of 40 and 60 = 20
  • GCF of 5 and 8 = 1
  • GCF of 14 and 35 = 7
  • GCF of 21 and 28 = 7
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