GCF of 1001 and 825

What is the GCF of 1001 and 825?


GCF of 1001 and 825

is 11

Formula How to

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What is the Greatest Common Factor of 1001 and 825? 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 825 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 825.
    3, 5, 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 825.
    1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
  3. The biggest common factor number is the GCF value. Which is,
    11

GCF (Greatest Common Factor) of 1001 and 825 is 11.

GCD (Greatest Common Divisor) of 1001 and 825 is 11.

HCF (Highest Common Factor) of 1001 and 825 is 11.

Number GCF LCM
1001 & 820 1 820820
1001 & 821 1 821821
1001 & 822 1 822822
1001 & 823 1 823823
1001 & 824 1 824824
1001 & 825 11 75075
1001 & 826 7 118118
1001 & 827 1 827827
1001 & 828 1 828828
1001 & 829 1 829829
1001 & 830 1 830830