GCF of 138 and 919

What is the GCF of 138 and 919?


GCF of 138 and 919

is 1

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What is the Greatest Common Factor of 138 and 919? 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 138 and 919 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 138.
    2, 3, 23
  2. Find the prime factors of the second number 919.
    919
  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 138.
    1, 2, 3, 6, 23, 46, 69, 138
  2. Find the factors of the second number 919.
    1, 919
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
138 & 914 2 63066
138 & 915 3 42090
138 & 916 2 63204
138 & 917 1 126546
138 & 918 6 21114
138 & 919 1 126822
138 & 920 46 2760
138 & 921 3 42366
138 & 922 2 63618
138 & 923 1 127374
138 & 924 6 21252

GCF (Greatest Common Factor) of 138 and 919 is 1.

GCD (Greatest Common Divisor) of 138 and 919 is 1.

HCF (Highest Common Factor) of 138 and 919 is 1.