GCF of 25 and 25

What is the GCF of 25 and 25?


GCF of 25 and 25

is 25

Formula How to

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What is the Greatest Common Factor of 25 and 25? 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 25 and 25 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 25.
    5, 5
  2. Find the prime factors of the second number 25.
    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 25.
    1, 5, 25
  2. Find the factors of the second number 25.
    1, 5, 25
  3. The biggest common factor number is the GCF value. Which is,
    25

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

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

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

Number GCF LCM
25 & 20 5 100
25 & 21 1 525
25 & 22 1 550
25 & 23 1 575
25 & 24 1 600
25 & 25 25 25
25 & 26 1 650
25 & 27 1 675
25 & 28 1 700
25 & 29 1 725
25 & 30 5 150