GCF of 1004 and 289

What is the GCF of 1004 and 289?

GCF of 1004 and 289

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 1004 and 289? 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 1004 and 289 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1004.
    2, 2, 251
  2. Find the prime factors of the second number 289.
    17, 17
  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 1004.
    1, 2, 4, 251, 502, 1004
  2. Find the factors of the second number 289.
    1, 17, 289
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1004 and 289 is 1.

GCD (Greatest Common Divisor) of 1004 and 289 is 1.

HCF (Highest Common Factor) of 1004 and 289 is 1.

Number GCF LCM
1004 & 284 4 71284
1004 & 285 1 286140
1004 & 286 2 143572
1004 & 287 1 288148
1004 & 288 4 72288
1004 & 289 1 290156
1004 & 290 2 145580
1004 & 291 1 292164
1004 & 292 4 73292
1004 & 293 1 294172
1004 & 294 2 147588
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