GCF of 15 and 40

What is the GCF of 15 and 40?

GCF of 15 and 40

is 5

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Greatest Common Factor

What is the Greatest Common Factor of 15 and 40? 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 40 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 40.
    2, 2, 2, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    5

Factors Method:

  1. Find the factors of the first number 15.
    1, 3, 5, 15
  2. Find the factors of the second number 40.
    1, 2, 4, 5, 8, 10, 20, 40
  3. The biggest common factor number is the GCF value. Which is,
    5

Number GCF LCM
15 & 35 5 105
15 & 36 3 180
15 & 37 1 555
15 & 38 1 570
15 & 39 3 195
15 & 40 5 120
15 & 41 1 615
15 & 42 3 210
15 & 43 1 645
15 & 44 1 660
15 & 45 15 45

GCF (Greatest Common Factor) of 15 and 40 is 5.

GCD (Greatest Common Divisor) of 15 and 40 is 5.

HCF (Highest Common Factor) of 15 and 40 is 5.
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