GCF of 100 and 1164

What is the GCF of 100 and 1164?

GCF of 100 and 1164

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 100 and 1164? 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 100 and 1164 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 100.
    2, 2, 5, 5
  2. Find the prime factors of the second number 1164.
    2, 2, 3, 97
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 100.
    1, 2, 4, 5, 10, 20, 25, 50, 100
  2. Find the factors of the second number 1164.
    1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
  3. The biggest common factor number is the GCF value. Which is,
    4

Number GCF LCM
100 & 1159 1 115900
100 & 1160 20 5800
100 & 1161 1 116100
100 & 1162 2 58100
100 & 1163 1 116300
100 & 1164 4 29100
100 & 1165 5 23300
100 & 1166 2 58300
100 & 1167 1 116700
100 & 1168 4 29200
100 & 1169 1 116900

GCF (Greatest Common Factor) of 100 and 1164 is 4.

GCD (Greatest Common Divisor) of 100 and 1164 is 4.

HCF (Highest Common Factor) of 100 and 1164 is 4.
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