 # GCF and LCM of 25 and 30

## Enter GCF or LCM numbers:

Number 1Number 2(Optional) Enter Number 3

Determine GCF(25,30)

1,5,25

## Determine the factors for 30

1,2,3,5,6,10,15

The common factors between them are 1,5
GCF(25,30) = 5

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
Calculate LCM(25,30)

## List the first few multiples for 25

25,50,75,100,125,150,175,200,225

## List the first few multiples for 30

30,60,90,120,150,180,210,240

## LCM is the smallest common number:

LCM(25,30) is 150

LCM(25,30) is 150

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

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