GCF of 1020 and 10005

What is the GCF of 1020 and 10005?

GCF of 1020 and 10005

is 15

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Greatest Common Factor

What is the Greatest Common Factor of 1020 and 10005? 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 1020 and 10005 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1020.
    2, 2, 3, 5, 17
  2. Find the prime factors of the second number 10005.
    3, 5, 23, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    15

Factors Method:

  1. Find the factors of the first number 1020.
    1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020
  2. Find the factors of the second number 10005.
    1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005
  3. The biggest common factor number is the GCF value. Which is,
    15

GCF (Greatest Common Factor) of 1020 and 10005 is 15.

GCD (Greatest Common Divisor) of 1020 and 10005 is 15.

HCF (Highest Common Factor) of 1020 and 10005 is 15.

Number GCF LCM
1020 & 10000 20 510000
1020 & 10001 1 10201020
1020 & 10002 6 1700340
1020 & 10003 1 10203060
1020 & 10004 4 2551020
1020 & 10005 15 680340
1020 & 10006 2 5103060
1020 & 10007 1 10207140
1020 & 10008 12 850680
1020 & 10009 1 10209180
1020 & 10010 10 1021020
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