GCF of 96 and 435

What is the GCF of 96 and 435?


GCF of 96 and 435

is 3

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What is the Greatest Common Factor of 96 and 435? 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 435 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 435.
    3, 5, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

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 435.
    1, 3, 5, 15, 29, 87, 145, 435
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
96 & 430 2 20640
96 & 431 1 41376
96 & 432 48 864
96 & 433 1 41568
96 & 434 2 20832
96 & 435 3 13920
96 & 436 4 10464
96 & 437 1 41952
96 & 438 6 7008
96 & 439 1 42144
96 & 440 8 5280

GCF (Greatest Common Factor) of 96 and 435 is 3.

GCD (Greatest Common Divisor) of 96 and 435 is 3.

HCF (Highest Common Factor) of 96 and 435 is 3.