GCF of 1003 and 118

What is the GCF of 1003 and 118?

GCF of 1003 and 118

is 59

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Greatest Common Factor

What is the Greatest Common Factor of 1003 and 118? 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 1003 and 118 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1003.
    17, 59
  2. Find the prime factors of the second number 118.
    2, 59
  3. Multiply of all the common prime factors is the GCF value. Which is,
    59

Factors Method:

  1. Find the factors of the first number 1003.
    1, 17, 59, 1003
  2. Find the factors of the second number 118.
    1, 2, 59, 118
  3. The biggest common factor number is the GCF value. Which is,
    59

GCF (Greatest Common Factor) of 1003 and 118 is 59.

GCD (Greatest Common Divisor) of 1003 and 118 is 59.

HCF (Highest Common Factor) of 1003 and 118 is 59.

Number GCF LCM
1003 & 113 1 113339
1003 & 114 1 114342
1003 & 115 1 115345
1003 & 116 1 116348
1003 & 117 1 117351
1003 & 118 59 2006
1003 & 119 17 7021
1003 & 120 1 120360
1003 & 121 1 121363
1003 & 122 1 122366
1003 & 123 1 123369
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