GCF of 94 and 42

What is the GCF of 94 and 42?

GCF of 94 and 42

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 94 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 94 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 94.
    2, 47
  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,
    2

Factors Method:

  1. Find the factors of the first number 94.
    1, 2, 47, 94
  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,
    2

GCF (Greatest Common Factor) of 94 and 42 is 2.

GCD (Greatest Common Divisor) of 94 and 42 is 2.

HCF (Highest Common Factor) of 94 and 42 is 2.

Number GCF LCM
94 & 37 1 3478
94 & 38 2 1786
94 & 39 1 3666
94 & 40 2 1880
94 & 41 1 3854
94 & 42 2 1974
94 & 43 1 4042
94 & 44 2 2068
94 & 45 1 4230
94 & 46 2 2162
94 & 47 47 94
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