what is the gcf of 28 and 42

GCF of 28 and 42GCF of 28 and 42 is the largest number that can be divided by 28 and 42 exactly without remainder. The factors of 28 and 42 are 1, 2, 4, 7, 14, 28, and 1, 2, 3, 6, 7, 14, 21, 42, respectively. There are three commonly used methods to find the GCF of 28 and 42 – prime factors, long division and Euclidean algorithm. 1. GCF of 28 and 42 2. List of methods 3. Solved examples 4. FAQAnswer: The GCF of 28 and 42 is 14. Read: what is the gcf of 28 and 42 Explanation: Read more: Square root of 18 | The GCF leading Q&A of two non-zero integers, x(28) and y(42), is the largest positive integer m(14) that divides both x(28) and y(42) without any part any residual. The GCF of 28 and 42 are explained below.

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

GCF 28 and 42 by Common Factor List

  • Factor 28: 1, 2, 4, 7, 14, 28
  • Factor 42: 1, 2, 3, 6, 7, 14, 21, 42

There are 4 common factors of 28 and 42, namely 1, 2, 14 and 7. Therefore, the greatest common factor of 28 and 42 is 14.

GCF of 28 and 42 by Long Division

GCF of 28 and 42 by Long DivisionRead more: what com.samsung.android.app.dressroom is used for GCF of 28 and 42 is the divisor we get when the remainder becomes 0 after doing many long division.

  • Step 1: Divide 42 (larger number) by 28 (smaller number).
  • Step 2: Since the remainder is ≠ 0, we will divide the divisor of step 1 (28) by the remainder (14).
  • Step 3: Repeat this process until remainder = 0.
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The corresponding divisor (14) is the GCF of 28 and 42.

GCF 28 and 42 according to Prime Factorization

GCF 28 and 42 according to Prime FactorizationThe primes of 28 and 42 are (2 × 2 × 7) and (2 × 3 × 7 respectively). As can be seen, 28 and 42 share the same prime factors. Therefore, the GCF of 28 and 42 is 2 × 7 = 14.☛ Also check:Read more: 104 cm in inches | Top Q&A

  • GCF of 35 and 63 = 7
  • GCF of 7 and 14 = 7
  • GCF of 14 and 49 = 7
  • GCF of 28 and 49 = 7
  • GCF of 35 and 50 = 5
  • GCF of 12 and 14 = 2
  • GCF of 26 and 52 = 26

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