GCF of 15 and 28

What is the GCF of 15 and 28?

GCF of 15 and 28

is 1

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 15 and 28? 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 28 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 28.
    2, 2, 7
  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 15.
    1, 3, 5, 15
  2. Find the factors of the second number 28.
    1, 2, 4, 7, 14, 28
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
15 & 23 1 345
15 & 24 3 120
15 & 25 5 75
15 & 26 1 390
15 & 27 3 135
15 & 28 1 420
15 & 29 1 435
15 & 30 15 30
15 & 31 1 465
15 & 32 1 480
15 & 33 3 165

GCF (Greatest Common Factor) of 15 and 28 is 1.

GCD (Greatest Common Divisor) of 15 and 28 is 1.

HCF (Highest Common Factor) of 15 and 28 is 1.
Calculations