HCF of 16 and 21

The HCF of 16 and 21 is 1. The highest common factor of 16 and 21 is the value that divides 16 and 21 evenly. The factors of 16 and 21 are 1, 2, 4, 8, 16and 1, 3, 7 and 21, respectively. Students will learn the methods, prime factorisation, long division and listing common factors effortlessly in this article. Various HCF concepts can be well memorized by the students using the study materials available at BYJU’S.

Also read: Highest common factor

What is the HCF of 16 and 21?

The answer to this question is 1. The HCF of 16 and 21 determined using three various methods are provided in brief in this article. The HCF of 16 and 21 is 1 which divides the given two numbers evenly.

How to Find HCF of 16 and 21?

The HCF of 16 and 21 can be found using the methods below:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 16 and 21 by Prime Factorisation Method

The prime factorisation of 16 and 21 are:

16 = 2 × 2 × 2 × 2

21 = 3 × 7

There is no common prime factor for 16 and 21.

Hence, HCF (16, 21) = 1

HCF of 16 and 21 by Long Division Method

We have to divide 16 and 21 by their prime factors so that the HCF of 16 and 21 can be found using the division method. The divisor we get with zero as the remainder is the HCF of 16 and 21.

No further division can be done.

Hence, HCF (16, 21) = 1

HCF of 16 and 21 by Listing Common Factors

The HCF of 16 and 21 can be determined by listing the common factors as given below:

Factors of 16: 1, 2, 4, 8, 16

Factors of 21: 1, 3, 7, 21

There is one common factor of 16 and 21, and that is 1.

Therefore, the highest common factor of 16 and 21 is 1.

Related Articles

• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF calculator
• GCF

Video Lesson on Properties of HCF and LCM

HCF of 16 and 21 Solved Example

Question: Find the HCF of 16 and 21 if the LCM is 336.

Solution:

Given

LCM = 336

We know that

HCF × LCM = 16 × 21

HCF = (16 × 21)/336

HCF = 1

Hence, the HCF is 1.