GCF of 429 and 114

What is the GCF of 429 and 114?

GCF of 429 and 114

is 3

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Greatest Common Factor

What is the Greatest Common Factor of 429 and 114? 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 429 and 114 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 429.
    3, 11, 13
  2. Find the prime factors of the second number 114.
    2, 3, 19
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 429.
    1, 3, 11, 13, 33, 39, 143, 429
  2. Find the factors of the second number 114.
    1, 2, 3, 6, 19, 38, 57, 114
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
429 & 109 1 46761
429 & 110 11 4290
429 & 111 3 15873
429 & 112 1 48048
429 & 113 1 48477
429 & 114 3 16302
429 & 115 1 49335
429 & 116 1 49764
429 & 117 39 1287
429 & 118 1 50622
429 & 119 1 51051

GCF (Greatest Common Factor) of 429 and 114 is 3.

GCD (Greatest Common Divisor) of 429 and 114 is 3.

HCF (Highest Common Factor) of 429 and 114 is 3.
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