GCF of 618 and 10020

What is the GCF of 618 and 10020?


GCF of 618 and 10020

is 6

Formula How to

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What is the Greatest Common Factor of 618 and 10020? 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 618 and 10020 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 618.
    2, 3, 103
  2. Find the prime factors of the second number 10020.
    2, 2, 3, 5, 167
  3. Multiply of all the common prime factors is the GCF value. Which is,
    6

Factors Method:

  1. Find the factors of the first number 618.
    1, 2, 3, 6, 103, 206, 309, 618
  2. Find the factors of the second 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
  3. The biggest common factor number is the GCF value. Which is,
    6

Number GCF LCM
618 & 10015 1 6189270
618 & 10016 2 3094944
618 & 10017 3 2063502
618 & 10018 2 3095562
618 & 10019 1 6191742
618 & 10020 6 1032060
618 & 10021 1 6192978
618 & 10022 2 3096798
618 & 10023 3 2064738
618 & 10024 2 3097416
618 & 10025 1 6195450

GCF (Greatest Common Factor) of 618 and 10020 is 6.

GCD (Greatest Common Divisor) of 618 and 10020 is 6.

HCF (Highest Common Factor) of 618 and 10020 is 6.