what is the gcf of 24 and 40

The GCF of 24 and 40 The GCF of 24 and 40 is the largest number that can be divided by 24 and 40 exactly without a remainder. The factors of 24 and 40 are 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 4, 5, 8, 10, 20, 40, respectively. There are three commonly used methods. to find the GCF of 24 and 40 – long division, Euclidean algorithm and prime factorization. 1. GCF of 24 and 40 2. List of methods 3. Solved examples 4. FAQAnswer: The GCF of 24 and 40 is 8. Read: what is the gcf of 24 and 40 Explanation: Further reading: The GCF of two non-zero integers, x(24) and y(40), is the largest positive integer m(8) that divides both x(24) and y(40) without any Remainder Let’s see the different methods to find the GCF of 24 and 40.

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

GCF of 24 and 40 by Long Division

GCF of 24 and 40 by Long DivisionThe GCF of 24 and 40 is the divisor we get when the remainder becomes 0 after doing many long divisions.

  • Step 1: Divide 40 (larger number) by 24 (smaller number).
  • Step 2: Since the remainder is ≠ 0, we will divide the divisor of step 1 (24) by the remainder (16).
  • Step 3: Repeat this process until remainder = 0.

Read more: What does soju taste like. The corresponding divisor (8) is the GCF of 24 and 40.

GCF of 24 and 40 by List of Common Factors

  • Factor of 24: 1, 2, 3, 4, 6, 8, 12, 24
  • Factor 40: 1, 2, 4, 5, 8, 10, 20, 40
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There are 4 common factors of 24 and 40, which are 8, 1, 2 and 4. Therefore, the greatest common factor of 24 and 40 is 8.

GCF of 24 and 40 prime factors

GCF of 24 and 40 prime factorsThe primes of 24 and 40 are (2 × 2 × 2 × 3) and (2 × 2 × 2 × 5, respectively). As can be seen, 24 and 40 share the same prime factors. Therefore, the GCF of 24 and 40 is 2 × 2 × 2 = 8.☛ Also check:Read more: what is the square root of 225 | Top Q&A

  • GCF of 42 and 63 = 21
  • GCF of 5 and 25 = 5
  • GCF of 14 and 15 = 1
  • GCF is 75 and 100 = 25
  • GCF of 26 and 39 = 13
  • GCF of 7 and 35 = 7
  • GCF of 4 and 12 = 4

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