Greatest Common Factor of 3 and 7

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3, 7 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3 and 7 is 1.

GCF(3,7) = 1

GCF of 3 and 7

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3 and 7

GCF of 3 and 7 is 1

Prime Factorization of 3


3 3
1

Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:

3 = 31

Prime Factorization of 7


7 7
1

Prime factors of 7 are 7.Prime factorization of 7 in exponential form is:

7 = 71

∴ So by taking common prime factors GCF of 3 and 7 is 1

Greatest Common Factor of 3 and 7 by matching factors method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Greatest Common Factor

We found the factors and prime factorization of 3 and 7. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 7 is 1.

Also check out the Least Common Multiple of 3 and 7

Properties of GCF 3 and 7

(i) The GCF of 3 and 7 is associative

GCF of 3 and 7 = GCF of 7 and 3

Related Greatest Common Factor of 3

Related Greatest Common Factor of 7

Frequently Asked Questions on GCF of 3 and 7

1. What is the GCF of 3 and 7?

Answer: GCF of 3 and 7 is 1.

2. What are the Factors of 3?

Answer: Factors of 3 are 1, 3. There are 2 integers that are factors of 3. The greatest factor of 3 is 3.

3. What are the Factors of 7?

Answer: Factors of 7 are 1, 7. There are 2 integers that are factors of 7. The greatest factor of 7 is 7.

4. How to Find the GCF of 3 and 7?

Answer:

Greatest Common Factor of 3 and 7 = 1

Step 1: Find the prime factorization of 3

3 = 3

Step 2: Find the prime factorization of 7

7 = 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3 and 7 is 1