answersLogoWhite

0


Best Answer

The GCF of 21 and 72 is 3

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Method:

One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 21 are 1, 3, 7, and 21.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

The common factors are 1 and 3. Therefore, the greatest common factor is 3.

By inspection:

21 is divisible by 3 and 7 only 72 is divisible by 2, 3, 4, 6, 12, 18, 26, 36

The greatest common factor is 3

User Avatar

Wiki User

8y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

14y ago

3

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the greatest common factor of 21 and 72?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Basic Math

What is the greatest common factor of 88 and 72?

The greatest common factor of 88 and 72 is 8.


What is the greatest common factor of 24 54 and 72?

The greatest common factor of 24 54 and 72 is 6.


What are the common factors and greatest common factor of 72?

There is neither a greatest common factor nor common factors of a single number, such as 72, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.The prime factors of 72 are 2, 2, 2, 3, and 3.Examples:The common factors of 21 and 72 are 1 and 3; the greatest common factor is 3.The common factors of 56 and 72 are 1, 2, 4, and 8; the greatest common factor is 8.The common factors of 72 and 100 are 1, 2, and 4;the greatest common factor i s 4.MoreThe question has a problem, because a greatest common factor is a factor "common" to two or more numbers. A single number has no "common" factor.An example of greatest common factor:Find the greatest common factor of 49 and 21.- The factors of 49 are 1, 7, and 49.- The factors of 21 are 1, 3, 7, and 21.The greatest factor common to both numbers is 7.


What is the greatest common factor of 72 and 144?

The GCF of 72 and 144 is 72. Since 72 is a factor of 144, it is automatically the GCF.


What is the greatest common factor of 16 72 and 81?

The greatest common factor of 16 72 and 81 is 1.

Related questions

What is the greatest common factor of 21 30 and 72?

The GCF of 21, 30, and 72 is 3.


What is greatest common factor of 72 6 3 and 21?

The GCF is 3.


What is the greatest common factor of 7248 and 72?

The greatest common factor of 7248 , 72 = 24


What is the greatest common factor of 4 and 72?

The greatest common factor of 4 and 72 is 4.


What is the greatest common factor of 88 and 72?

The greatest common factor of 88 and 72 is 8.


What is the greatest common factor of 72 and56?

The greatest common factor of 72 and 56 is 8


What are the greatest common factor of 1632 and 72?

The greatest common factor of 1632 and 72 is 24


What is the greatest common factor of 24 54 and 72?

The greatest common factor of 24 54 and 72 is 6.


What is the greatest common factor of 72 and 240?

The Greatest Common Factor (GCF) or 72 and 240 is 24.


What is the greatest common factor between 54 and 72?

The greatest common factor of 54 and 72 is 18.


What are the common factors and greatest common factor of 72?

There is neither a greatest common factor nor common factors of a single number, such as 72, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.The prime factors of 72 are 2, 2, 2, 3, and 3.Examples:The common factors of 21 and 72 are 1 and 3; the greatest common factor is 3.The common factors of 56 and 72 are 1, 2, 4, and 8; the greatest common factor is 8.The common factors of 72 and 100 are 1, 2, and 4;the greatest common factor i s 4.MoreThe question has a problem, because a greatest common factor is a factor "common" to two or more numbers. A single number has no "common" factor.An example of greatest common factor:Find the greatest common factor of 49 and 21.- The factors of 49 are 1, 7, and 49.- The factors of 21 are 1, 3, 7, and 21.The greatest factor common to both numbers is 7.


What is the greatest common factor of 72 and 144?

The GCF of 72 and 144 is 72. Since 72 is a factor of 144, it is automatically the GCF.