Greatest Common Factor of 7641 and 7647

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 7641, 7647 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7641 and 7647 is 3.

GCF(7641,7647) = 3

GCF of 7641 and 7647

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

GCF of:
and

Greatest Common Factor of 7641 and 7647

GCF of 7641 and 7647 is 3

Prime Factorization of 7641


3 7641
3 2547
3 849
283 283
1

Prime factors of 7641 are 3,283. Prime factorization of 7641 in exponential form is:

7641 = 33×2831

Prime Factorization of 7647


3 7647
2549 2549
1

Prime factors of 7647 are 3,2549. Prime factorization of 7647 in exponential form is:

7647 = 31×25491

∴ So by taking common prime factors GCF of 7641 and 7647 is 3

Greatest Common Factor of 7641 and 7647 by matching factors method

Factors of 7641

List of positive integer factors of 7641 that divides 7641 without a remainder.

1,3,9,27,283,849,2547,7641

Factors of 7647

List of positive integer factors of 7647 that divides 7647 without a remainder.

1,3,2549,7647

Greatest Common Factor

We found the factors and prime factorization of 7641 and 7647. The biggest common factor number is the GCF number.
So the greatest common factor 7641 and 7647 is 3.

Also check out the Least Common Multiple of 7641 and 7647

Properties of GCF 7641 and 7647

(i) The GCF of 7641 and 7647 is associative

GCF of 7641 and 7647 = GCF of 7647 and 7641

Related Greatest Common Factor of 7641

Related Greatest Common Factor of 7647

Frequently Asked Questions on GCF of 7641 and 7647

1. What is the GCF of 7641 and 7647?

Answer: GCF of 7641 and 7647 is 3.

2. What are the Factors of 7641?

Answer: Factors of 7641 are 1, 3, 9, 27, 283, 849, 2547, 7641. There are 8 integers that are factors of 7641. The greatest factor of 7641 is 7641.

3. What are the Factors of 7647?

Answer: Factors of 7647 are 1, 3, 2549, 7647. There are 4 integers that are factors of 7647. The greatest factor of 7647 is 7647.

4. How to Find the GCF of 7641 and 7647?

Answer:

Greatest Common Factor of 7641 and 7647 = 3

Step 1: Find the prime factorization of 7641

7641 = 3 x 3 x 3 x 283

Step 2: Find the prime factorization of 7647

7647 = 3 x 2549

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7641 and 7647 is 3