GCF of 14 and 42

What is the GCF of 14 and 42?

GCF of 14 and 42

is 14

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Greatest Common Factor

What is the Greatest Common Factor of 14 and 42? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 14 and 42 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 14.
    2, 7
  2. Find the prime factors of the second number 42.
    2, 3, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    14

Factors Method:

  1. Find the factors of the first number 14.
    1, 2, 7, 14
  2. Find the factors of the second number 42.
    1, 2, 3, 6, 7, 14, 21, 42
  3. The biggest common factor number is the GCF value. Which is,
    14

Number GCF LCM
14 & 37 1 518
14 & 38 2 266
14 & 39 1 546
14 & 40 2 280
14 & 41 1 574
14 & 42 14 42
14 & 43 1 602
14 & 44 2 308
14 & 45 1 630
14 & 46 2 322
14 & 47 1 658

GCF (Greatest Common Factor) of 14 and 42 is 14.

GCD (Greatest Common Divisor) of 14 and 42 is 14.

HCF (Highest Common Factor) of 14 and 42 is 14.
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