GCF of 96 and 253

What is the GCF of 96 and 253?


GCF of 96 and 253

is 1

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What is the Greatest Common Factor of 96 and 253? 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 96 and 253 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 96.
    2, 2, 2, 2, 2, 3
  2. Find the prime factors of the second number 253.
    11, 23
  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 96.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  2. Find the factors of the second number 253.
    1, 11, 23, 253
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
96 & 248 8 2976
96 & 249 3 7968
96 & 250 2 12000
96 & 251 1 24096
96 & 252 12 2016
96 & 253 1 24288
96 & 254 2 12192
96 & 255 3 8160
96 & 256 32 768
96 & 257 1 24672
96 & 258 6 4128

GCF (Greatest Common Factor) of 96 and 253 is 1.

GCD (Greatest Common Divisor) of 96 and 253 is 1.

HCF (Highest Common Factor) of 96 and 253 is 1.