GCF of 429 and 105

What is the GCF of 429 and 105?

GCF of 429 and 105

is 3

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Greatest Common Factor

What is the Greatest Common Factor of 429 and 105? 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 105 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 105.
    3, 5, 7
  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 105.
    1, 3, 5, 7, 15, 21, 35, 105
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
429 & 100 1 42900
429 & 101 1 43329
429 & 102 3 14586
429 & 103 1 44187
429 & 104 13 3432
429 & 105 3 15015
429 & 106 1 45474
429 & 107 1 45903
429 & 108 3 15444
429 & 109 1 46761
429 & 110 11 4290

GCF (Greatest Common Factor) of 429 and 105 is 3.

GCD (Greatest Common Divisor) of 429 and 105 is 3.

HCF (Highest Common Factor) of 429 and 105 is 3.
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