GCF of 15 and 105

What is the GCF of 15 and 105?

GCF of 15 and 105

is 15

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Greatest Common Factor

What is the Greatest Common Factor of 15 and 105? 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 15 and 105 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 15.
    3, 5
  2. Find the prime factors of the second number 105.
    3, 5, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    15

Factors Method:

  1. Find the factors of the first number 15.
    1, 3, 5, 15
  2. Find the factors of the second number 105.
    1, 3, 5, 7, 15, 21, 35, 105
  3. The biggest common factor number is the GCF value. Which is,
    15

GCF (Greatest Common Factor) of 15 and 105 is 15.

GCD (Greatest Common Divisor) of 15 and 105 is 15.

HCF (Highest Common Factor) of 15 and 105 is 15.

Number GCF LCM
15 & 100 5 300
15 & 101 1 1515
15 & 102 3 510
15 & 103 1 1545
15 & 104 1 1560
15 & 105 15 105
15 & 106 1 1590
15 & 107 1 1605
15 & 108 3 540
15 & 109 1 1635
15 & 110 5 330
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