GCF of 75 and 100

What is the GCF of 75 and 100?

GCF of 75 and 100

is 25

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Greatest Common Factor

What is the Greatest Common Factor of 75 and 100? 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 75 and 100 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 75.
    3, 5, 5
  2. Find the prime factors of the second number 100.
    2, 2, 5, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    25

Factors Method:

  1. Find the factors of the first number 75.
    1, 3, 5, 15, 25, 75
  2. Find the factors of the second number 100.
    1, 2, 4, 5, 10, 20, 25, 50, 100
  3. The biggest common factor number is the GCF value. Which is,
    25

Number GCF LCM
75 & 95 5 1425
75 & 96 3 2400
75 & 97 1 7275
75 & 98 1 7350
75 & 99 3 2475
75 & 100 25 300
75 & 101 1 7575
75 & 102 3 2550
75 & 103 1 7725
75 & 104 1 7800
75 & 105 15 525

GCF (Greatest Common Factor) of 75 and 100 is 25.

GCD (Greatest Common Divisor) of 75 and 100 is 25.

HCF (Highest Common Factor) of 75 and 100 is 25.
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