GCF of 75 and 87

What is the GCF of 75 and 87?


GCF of 75 and 87

is 3

Formula How to

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What is the Greatest Common Factor of 75 and 87? 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 87 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 87.
    3, 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 75.
    1, 3, 5, 15, 25, 75
  2. Find the factors of the second number 87.
    1, 3, 29, 87
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 75 and 87 is 3.

GCD (Greatest Common Divisor) of 75 and 87 is 3.

HCF (Highest Common Factor) of 75 and 87 is 3.

Number GCF LCM
75 & 82 1 6150
75 & 83 1 6225
75 & 84 3 2100
75 & 85 5 1275
75 & 86 1 6450
75 & 87 3 2175
75 & 88 1 6600
75 & 89 1 6675
75 & 90 15 450
75 & 91 1 6825
75 & 92 1 6900