GCF of 1001 and 165

What is the GCF of 1001 and 165?


GCF of 1001 and 165

is 11

Formula How to

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What is the Greatest Common Factor of 1001 and 165? 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 1001 and 165 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1001.
    7, 11, 13
  2. Find the prime factors of the second number 165.
    3, 5, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    11

Factors Method:

  1. Find the factors of the first number 1001.
    1, 7, 11, 13, 77, 91, 143, 1001
  2. Find the factors of the second number 165.
    1, 3, 5, 11, 15, 33, 55, 165
  3. The biggest common factor number is the GCF value. Which is,
    11

GCF (Greatest Common Factor) of 1001 and 165 is 11.

GCD (Greatest Common Divisor) of 1001 and 165 is 11.

HCF (Highest Common Factor) of 1001 and 165 is 11.

Number GCF LCM
1001 & 160 1 160160
1001 & 161 7 23023
1001 & 162 1 162162
1001 & 163 1 163163
1001 & 164 1 164164
1001 & 165 11 15015
1001 & 166 1 166166
1001 & 167 1 167167
1001 & 168 7 24024
1001 & 169 13 13013
1001 & 170 1 170170