The Greatest Common Factor (Gcf) Of 64 And 80

GCF of 64 and 80 How to Find GCF of 64, 80? from www.cuemath.com

Introduction

In this article, we will learn about finding the GCF of 64 and 80. The GCF is the largest number that divides two given numbers evenly. It is a very important concept in mathematics and is used in various mathematical operations. In order to find the GCF of any two numbers, we need to follow a set of steps.

Step by Step Solution

Step 1: Prime Factorization

The first step in finding the GCF of 64 and 80 is to write both numbers in terms of their prime factors. Prime factorization means breaking down a number into a product of its prime factors.

64 = 2 x 2 x 2 x 2 x 2 x 2

80 = 2 x 2 x 2 x 2 x 5

Step 2: Identify the Common Prime Factors

The next step is to identify the common prime factors of both numbers. In this case, the common prime factors are 2, 2, 2, and 2.

Step 3: Multiply the Common Prime Factors

The final step is to multiply the common prime factors.

GCF of 64 and 80 = 2 x 2 x 2 x 2 = 16

Conclusion

In conclusion, the GCF of 64 and 80 is 16. We followed a set of steps to find the GCF, which included prime factorization, identifying common prime factors, and multiplying those factors. This concept is important in various mathematical operations such as simplifying fractions, finding common denominators, and solving equations. It is essential for students to understand the concept of GCF and how to find it in order to excel in mathematics.