GCF of 361 and 1004

What is the GCF of 361 and 1004?


GCF of 361 and 1004

is 1

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 361 and 1004? 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 361 and 1004 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 361.
    19, 19
  2. Find the prime factors of the second number 1004.
    2, 2, 251
  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 361.
    1, 19, 361
  2. Find the factors of the second number 1004.
    1, 2, 4, 251, 502, 1004
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 361 and 1004 is 1.

GCD (Greatest Common Divisor) of 361 and 1004 is 1.

HCF (Highest Common Factor) of 361 and 1004 is 1.

Number GCF LCM
361 & 999 1 360639
361 & 1000 1 361000
361 & 1001 1 361361
361 & 1002 1 361722
361 & 1003 1 362083
361 & 1004 1 362444
361 & 1005 1 362805
361 & 1006 1 363166
361 & 1007 19 19133
361 & 1008 1 363888
361 & 1009 1 364249