GCF of 50 and 80

What is the GCF of 50 and 80?

GCF of 50 and 80

is 10

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Greatest Common Factor

What is the Greatest Common Factor of 50 and 80? 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 50 and 80 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 50.
    2, 5, 5
  2. Find the prime factors of the second number 80.
    2, 2, 2, 2, 5
  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 50.
    1, 2, 5, 10, 25, 50
  2. Find the factors of the second number 80.
    1, 2, 4, 5, 8, 10, 16, 20, 40, 80
  3. The biggest common factor number is the GCF value. Which is,
    10

GCF (Greatest Common Factor) of 50 and 80 is 10.

GCD (Greatest Common Divisor) of 50 and 80 is 10.

HCF (Highest Common Factor) of 50 and 80 is 10.

Number GCF LCM
50 & 75 25 150
50 & 76 2 1900
50 & 77 1 3850
50 & 78 2 1950
50 & 79 1 3950
50 & 80 10 400
50 & 81 1 4050
50 & 82 2 2050
50 & 83 1 4150
50 & 84 2 2100
50 & 85 5 850
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