GCF of 30 and 42

What is the GCF of 30 and 42?

GCF of 30 and 42

is 6

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Greatest Common Factor

What is the Greatest Common Factor of 30 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 30 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 30.
    2, 3, 5
  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,
    6

Factors Method:

  1. Find the factors of the first number 30.
    1, 2, 3, 5, 6, 10, 15, 30
  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,
    6

Number GCF LCM
30 & 37 1 1110
30 & 38 2 570
30 & 39 3 390
30 & 40 10 120
30 & 41 1 1230
30 & 42 6 210
30 & 43 1 1290
30 & 44 2 660
30 & 45 15 90
30 & 46 2 690
30 & 47 1 1410

GCF (Greatest Common Factor) of 30 and 42 is 6.

GCD (Greatest Common Divisor) of 30 and 42 is 6.

HCF (Highest Common Factor) of 30 and 42 is 6.
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