Gcf Of 20 And 32: Explanation And Solution

GCF of 20 and 32 How to Find GCF of 20, 32? from en.asriportal.com

What is GCF?

GCF stands for Greatest Common Factor. It is a mathematical term used to find the largest number that divides two or more numbers without leaving any remainder.

Method to Find GCF

To find the GCF of two or more numbers, we use the factorization method. We list all the factors of the given numbers and find the common factors. The largest common factor is the GCF.

Factors of 20

The factors of 20 are 1, 2, 4, 5, 10, and 20.

Factors of 32

The factors of 32 are 1, 2, 4, 8, 16, and 32.

Common Factors of 20 and 32

The common factors of 20 and 32 are 1, 2, 4.

Largest Common Factor

Out of the common factors, 4 is the largest. Therefore, the GCF of 20 and 32 is 4.

Divisibility Rule

We can also use the divisibility rule to find the GCF of two numbers. In this method, we divide the larger number by the smaller number. If the remainder is zero, the smaller number is the GCF. If not, we divide the smaller number by the remainder. We continue this process until we get a remainder of zero.

Using Divisibility Rule for 20 and 32

We divide 32 by 20. The remainder is 12. We divide 20 by 12. The remainder is 8. We divide 12 by 8. The remainder is 4. We divide 8 by 4. The remainder is zero. Therefore, the GCF of 20 and 32 is 4.

Application of GCF

GCF is used in many mathematical problems, especially in simplifying fractions. We can simplify a fraction by dividing both the numerator and denominator by their GCF.

Conclusion

In conclusion, the GCF of 20 and 32 is 4. We can find the GCF by using the factorization method or the divisibility rule. The GCF is used in simplifying fractions and other mathematical problems.