GCF of 135 and 1001

What is the GCF of 135 and 1001?


GCF of 135 and 1001

is 1

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What is the Greatest Common Factor of 135 and 1001? 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 135 and 1001 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 135.
    3, 3, 3, 5
  2. Find the prime factors of the second number 1001.
    7, 11, 13
  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 135.
    1, 3, 5, 9, 15, 27, 45, 135
  2. Find the factors of the second number 1001.
    1, 7, 11, 13, 77, 91, 143, 1001
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 135 and 1001 is 1.

GCD (Greatest Common Divisor) of 135 and 1001 is 1.

HCF (Highest Common Factor) of 135 and 1001 is 1.

Number GCF LCM
135 & 996 3 44820
135 & 997 1 134595
135 & 998 1 134730
135 & 999 27 4995
135 & 1000 5 27000
135 & 1001 1 135135
135 & 1002 3 45090
135 & 1003 1 135405
135 & 1004 1 135540
135 & 1005 15 9045
135 & 1006 1 135810