GCF of 10 and 150

What is the GCF of 10 and 150?

GCF of 10 and 150

is 10

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Greatest Common Factor

What is the Greatest Common Factor of 10 and 150? 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 10 and 150 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10.
    2, 5
  2. Find the prime factors of the second number 150.
    2, 3, 5, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    10

Factors Method:

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

Number GCF LCM
10 & 145 5 290
10 & 146 2 730
10 & 147 1 1470
10 & 148 2 740
10 & 149 1 1490
10 & 150 10 150
10 & 151 1 1510
10 & 152 2 760
10 & 153 1 1530
10 & 154 2 770
10 & 155 5 310

GCF (Greatest Common Factor) of 10 and 150 is 10.

GCD (Greatest Common Divisor) of 10 and 150 is 10.

HCF (Highest Common Factor) of 10 and 150 is 10.
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