Enter GCF or LCM numbers:

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Determine GCF(30,10)

GCF = Largest factor that divides numbers

Determine the factors for 30

1,2,3,5,6,10

Determine the factors for 10

1,2,5,10

List the common factors

1,2,5,10

GCF(30,10) = 10

You have 1 free calculations remaining

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GCF(30,10) = 10

Evaluate GCF

Since GCF ≠ 1, they are not relatively prime (co-prime)

Since GCF ≠ 1 and have a difference of two, the numbers are not twin prime

What is the Answer?

How does the Greatest Common Factor and Least Common Multiple Calculator work?

Free Greatest Common Factor and Least Common Multiple Calculator - Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.

What 11 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?

division

separate a number into parts

division

separate a number into parts

factor

a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.

greatest common factor

largest positive integer dividing a set of integers

greatest common factor and least common multiple

least common multiple

Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)

minimum

the least or lowest amount possible or attained

multiple

the product of any quantity and an integer

number

an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.

prime factorization

the prime numbers that divide that integer exactly

remainder

The portion of a division operation leftover after dividing two integers

Example calculations for the Greatest Common Factor and Least Common Multiple Calculator

Greatest Common Factor and Least Common Multiple Calculator Video

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