GCF of 73 and 1005

What is the GCF of 73 and 1005?


GCF of 73 and 1005

is 1

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What is the Greatest Common Factor of 73 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 73 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 73.
    73
  2. Find the prime factors of the second number 1005.
    3, 5, 67
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 73.
    1, 73
  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,
    1

GCF (Greatest Common Factor) of 73 and 1005 is 1.

GCD (Greatest Common Divisor) of 73 and 1005 is 1.

HCF (Highest Common Factor) of 73 and 1005 is 1.

Number GCF LCM
73 & 1000 1 73000
73 & 1001 1 73073
73 & 1002 1 73146
73 & 1003 1 73219
73 & 1004 1 73292
73 & 1005 1 73365
73 & 1006 1 73438
73 & 1007 1 73511
73 & 1008 1 73584
73 & 1009 1 73657
73 & 1010 1 73730