Is 15 And 37 Coprime? Exploring Number Theory

## Class 6 – Exercise 3.4 – Q 4 | Which Of The Following Is Co Prime Numbers

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## What Are The Factors Of 15 And 37?

Let’s clarify the concept of finding factors for the numbers 15 and 37.

Factors are whole numbers that can divide another number without leaving a remainder. For 15, the factors are 1, 3, 5, and 15, as these numbers can evenly divide 15. For 37, the factors are 1 and 37, as they can divide 37 without any remainder.

When we compare the factors of 15 and 37, we find that the only number they have in common is 1. When two numbers share only 1 as a common factor, we call them “co-prime” or “relatively prime” because they have no other common factors apart from 1. Therefore, 15 and 37 are co-prime numbers, which means they do not share any factors other than 1. This information helps us understand the relationship between these two numbers in terms of their factors.

## What Numbers Are Coprime With 15?

Which numbers are coprime with 15? Coprime numbers are those that share no common factors other than 1. In the case of 15, there are 8 positive integers less than 15 that fit this criterion, meaning they have no common factors with 15 other than 1. These coprime numbers are 1, 2, 4, 7, 8, 11, 13, and 14. In other words, these numbers can be divided by 1 and themselves without any other common factors with 15.

## Update 46 Is 15 and 37 Coprime numbers

Categories: Top 78 Is 15 And 37 Coprime Numbers

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Since both have only one common factor i.e. 1, therefore, **they are co-prime numbers**.Factors of 15 are 1, 3, 5 and 15. Factors of 37 are **1 and 37**. Therefore, 1 is the only common factor of 15 and 37 which means that 15 and 37 are co-prime.There are 8 positive integers less than 15 and co- prime with 15. They are **1, 2, 4, 7, 8, 11, 13 and 14**.

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