GCF of 80 and 430

What is the GCF of 80 and 430?

GCF of 80 and 430

is 10

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Greatest Common Factor

What is the Greatest Common Factor of 80 and 430? 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 80 and 430 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 80.
    2, 2, 2, 2, 5
  2. Find the prime factors of the second number 430.
    2, 5, 43
  3. Multiply of all the common prime factors is the GCF value. Which is,
    10

Factors Method:

  1. Find the factors of the first number 80.
    1, 2, 4, 5, 8, 10, 16, 20, 40, 80
  2. Find the factors of the second number 430.
    1, 2, 5, 10, 43, 86, 215, 430
  3. The biggest common factor number is the GCF value. Which is,
    10

Number GCF LCM
80 & 425 5 6800
80 & 426 2 17040
80 & 427 1 34160
80 & 428 4 8560
80 & 429 1 34320
80 & 430 10 3440
80 & 431 1 34480
80 & 432 16 2160
80 & 433 1 34640
80 & 434 2 17360
80 & 435 5 6960

GCF (Greatest Common Factor) of 80 and 430 is 10.

GCD (Greatest Common Divisor) of 80 and 430 is 10.

HCF (Highest Common Factor) of 80 and 430 is 10.
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