GCF of 10020 and 725

What is the GCF of 10020 and 725?

GCF of 10020 and 725

is 5

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Greatest Common Factor

What is the Greatest Common Factor of 10020 and 725? 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 10020 and 725 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10020.
    2, 2, 3, 5, 167
  2. Find the prime factors of the second number 725.
    5, 5, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    5

Factors Method:

  1. Find the factors of the first number 10020.
    1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020
  2. Find the factors of the second number 725.
    1, 5, 25, 29, 145, 725
  3. The biggest common factor number is the GCF value. Which is,
    5

Number GCF LCM
10020 & 720 60 120240
10020 & 721 1 7224420
10020 & 722 2 3617220
10020 & 723 3 2414820
10020 & 724 4 1813620
10020 & 725 5 1452900
10020 & 726 6 1212420
10020 & 727 1 7284540
10020 & 728 4 1823640
10020 & 729 3 2434860
10020 & 730 10 731460

GCF (Greatest Common Factor) of 10020 and 725 is 5.

GCD (Greatest Common Divisor) of 10020 and 725 is 5.

HCF (Highest Common Factor) of 10020 and 725 is 5.
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