GCF of 1000 and 438

What is the GCF of 1000 and 438?

GCF of 1000 and 438

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 1000 and 438? 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 1000 and 438 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1000.
    2, 2, 2, 5, 5, 5
  2. Find the prime factors of the second number 438.
    2, 3, 73
  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 1000.
    1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
  2. Find the factors of the second number 438.
    1, 2, 3, 6, 73, 146, 219, 438
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1000 and 438 is 2.

GCD (Greatest Common Divisor) of 1000 and 438 is 2.

HCF (Highest Common Factor) of 1000 and 438 is 2.

Number GCF LCM
1000 & 433 1 433000
1000 & 434 2 217000
1000 & 435 5 87000
1000 & 436 4 109000
1000 & 437 1 437000
1000 & 438 2 219000
1000 & 439 1 439000
1000 & 440 40 11000
1000 & 441 1 441000
1000 & 442 2 221000
1000 & 443 1 443000
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