GCF of 150 and 13

What is the GCF of 150 and 13?

GCF of 150 and 13

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 150 and 13? 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 150 and 13 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 150.
    2, 3, 5, 5
  2. Find the prime factors of the second number 13.
    13
  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 150.
    1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
  2. Find the factors of the second number 13.
    1, 13
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
150 & 8 2 600
150 & 9 3 450
150 & 10 10 150
150 & 11 1 1650
150 & 12 6 300
150 & 13 1 1950
150 & 14 2 1050
150 & 15 15 150
150 & 16 2 1200
150 & 17 1 2550
150 & 18 6 450

GCF (Greatest Common Factor) of 150 and 13 is 1.

GCD (Greatest Common Divisor) of 150 and 13 is 1.

HCF (Highest Common Factor) of 150 and 13 is 1.
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