GCF of 871 and 1005

What is the GCF of 871 and 1005?


GCF of 871 and 1005

is 67

Formula How to

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What is the Greatest Common Factor of 871 and 1005? 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 871 and 1005 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 871.
    13, 67
  2. Find the prime factors of the second number 1005.
    3, 5, 67
  3. Multiply of all the common prime factors is the GCF value. Which is,
    67

Factors Method:

  1. Find the factors of the first number 871.
    1, 13, 67, 871
  2. Find the factors of the second number 1005.
    1, 3, 5, 15, 67, 201, 335, 1005
  3. The biggest common factor number is the GCF value. Which is,
    67

GCF (Greatest Common Factor) of 871 and 1005 is 67.

GCD (Greatest Common Divisor) of 871 and 1005 is 67.

HCF (Highest Common Factor) of 871 and 1005 is 67.

Number GCF LCM
871 & 1000 1 871000
871 & 1001 13 67067
871 & 1002 1 872742
871 & 1003 1 873613
871 & 1004 1 874484
871 & 1005 67 13065
871 & 1006 1 876226
871 & 1007 1 877097
871 & 1008 1 877968
871 & 1009 1 878839
871 & 1010 1 879710