GCF of 112 and 428

What is the GCF of 112 and 428?


GCF of 112 and 428

is 4

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What is the Greatest Common Factor of 112 and 428? 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 112 and 428 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 112.
    2, 2, 2, 2, 7
  2. Find the prime factors of the second number 428.
    2, 2, 107
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 112.
    1, 2, 4, 7, 8, 14, 16, 28, 56, 112
  2. Find the factors of the second number 428.
    1, 2, 4, 107, 214, 428
  3. The biggest common factor number is the GCF value. Which is,
    4

Number GCF LCM
112 & 423 1 47376
112 & 424 8 5936
112 & 425 1 47600
112 & 426 2 23856
112 & 427 7 6832
112 & 428 4 11984
112 & 429 1 48048
112 & 430 2 24080
112 & 431 1 48272
112 & 432 16 3024
112 & 433 1 48496

GCF (Greatest Common Factor) of 112 and 428 is 4.

GCD (Greatest Common Divisor) of 112 and 428 is 4.

HCF (Highest Common Factor) of 112 and 428 is 4.