GCF of 109 and 225

What is the GCF of 109 and 225?


GCF of 109 and 225

is 1

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What is the Greatest Common Factor of 109 and 225? 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 109 and 225 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 109.
    109
  2. Find the prime factors of the second number 225.
    3, 3, 5, 5
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 109.
    1, 109
  2. Find the factors of the second number 225.
    1, 3, 5, 9, 15, 25, 45, 75, 225
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 109 and 225 is 1.

GCD (Greatest Common Divisor) of 109 and 225 is 1.

HCF (Highest Common Factor) of 109 and 225 is 1.

Number GCF LCM
109 & 220 1 23980
109 & 221 1 24089
109 & 222 1 24198
109 & 223 1 24307
109 & 224 1 24416
109 & 225 1 24525
109 & 226 1 24634
109 & 227 1 24743
109 & 228 1 24852
109 & 229 1 24961
109 & 230 1 25070