GCF of 142 and 8

What is the GCF of 142 and 8?

GCF of 142 and 8

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 142 and 8? 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 142 and 8 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 142.
    2, 71
  2. Find the prime factors of the second number 8.
    2, 2, 2
  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 142.
    1, 2, 71, 142
  2. Find the factors of the second number 8.
    1, 2, 4, 8
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
142 & 3 1 426
142 & 4 2 284
142 & 5 1 710
142 & 6 2 426
142 & 7 1 994
142 & 8 2 568
142 & 9 1 1278
142 & 10 2 710
142 & 11 1 1562
142 & 12 2 852
142 & 13 1 1846

GCF (Greatest Common Factor) of 142 and 8 is 2.

GCD (Greatest Common Divisor) of 142 and 8 is 2.

HCF (Highest Common Factor) of 142 and 8 is 2.
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