GCF of 10004 and 380

What is the GCF of 10004 and 380?

GCF of 10004 and 380

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 10004 and 380? 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 10004 and 380 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10004.
    2, 2, 41, 61
  2. Find the prime factors of the second number 380.
    2, 2, 5, 19
  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 10004.
    1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004
  2. Find the factors of the second number 380.
    1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 10004 and 380 is 4.

GCD (Greatest Common Divisor) of 10004 and 380 is 4.

HCF (Highest Common Factor) of 10004 and 380 is 4.

Number GCF LCM
10004 & 375 1 3751500
10004 & 376 4 940376
10004 & 377 1 3771508
10004 & 378 2 1890756
10004 & 379 1 3791516
10004 & 380 4 950380
10004 & 381 1 3811524
10004 & 382 2 1910764
10004 & 383 1 3831532
10004 & 384 4 960384
10004 & 385 1 3851540
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