GCF of 1001 and 152

What is the GCF of 1001 and 152?


GCF of 1001 and 152

is 1

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What is the Greatest Common Factor of 1001 and 152? 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 152 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 152.
    2, 2, 2, 19
  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 1001.
    1, 7, 11, 13, 77, 91, 143, 1001
  2. Find the factors of the second number 152.
    1, 2, 4, 8, 19, 38, 76, 152
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1001 and 152 is 1.

GCD (Greatest Common Divisor) of 1001 and 152 is 1.

HCF (Highest Common Factor) of 1001 and 152 is 1.

Number GCF LCM
1001 & 147 7 21021
1001 & 148 1 148148
1001 & 149 1 149149
1001 & 150 1 150150
1001 & 151 1 151151
1001 & 152 1 152152
1001 & 153 1 153153
1001 & 154 77 2002
1001 & 155 1 155155
1001 & 156 13 12012
1001 & 157 1 157157