GCF of 225 and 125

What is the GCF of 225 and 125?


GCF of 225 and 125

is 25

Formula How to

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What is the Greatest Common Factor of 225 and 125? 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 225 and 125 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 225.
    3, 3, 5, 5
  2. Find the prime factors of the second number 125.
    5, 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 225.
    1, 3, 5, 9, 15, 25, 45, 75, 225
  2. Find the factors of the second number 125.
    1, 5, 25, 125
  3. The biggest common factor number is the GCF value. Which is,
    25

GCF (Greatest Common Factor) of 225 and 125 is 25.

GCD (Greatest Common Divisor) of 225 and 125 is 25.

HCF (Highest Common Factor) of 225 and 125 is 25.

Number GCF LCM
225 & 120 15 1800
225 & 121 1 27225
225 & 122 1 27450
225 & 123 3 9225
225 & 124 1 27900
225 & 125 25 1125
225 & 126 9 3150
225 & 127 1 28575
225 & 128 1 28800
225 & 129 3 9675
225 & 130 5 5850