Greatest Common Factor of 87741 and 87747

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 87741, 87747 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 87741 and 87747 is 3.

GCF(87741,87747) = 3

GCF of 87741 and 87747

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

GCF of:
and

Greatest Common Factor of 87741 and 87747

GCF of 87741 and 87747 is 3

Prime Factorization of 87741


3 87741
3 29247
9749 9749
1

Prime factors of 87741 are 3,9749. Prime factorization of 87741 in exponential form is:

87741 = 32×97491

Prime Factorization of 87747


3 87747
11 29249
2659 2659
1

Prime factors of 87747 are 3,11,2659. Prime factorization of 87747 in exponential form is:

87747 = 31×111×26591

∴ So by taking common prime factors GCF of 87741 and 87747 is 3

Greatest Common Factor of 87741 and 87747 by matching factors method

Factors of 87741

List of positive integer factors of 87741 that divides 87741 without a remainder.

1,3,9,9749,29247,87741

Factors of 87747

List of positive integer factors of 87747 that divides 87747 without a remainder.

1,3,11,33,2659,7977,29249,87747

Greatest Common Factor

We found the factors and prime factorization of 87741 and 87747. The biggest common factor number is the GCF number.
So the greatest common factor 87741 and 87747 is 3.

Also check out the Least Common Multiple of 87741 and 87747

Properties of GCF 87741 and 87747

(i) The GCF of 87741 and 87747 is associative

GCF of 87741 and 87747 = GCF of 87747 and 87741

Related Greatest Common Factor of 87741

Related Greatest Common Factor of 87747

Frequently Asked Questions on GCF of 87741 and 87747

1. What is the GCF of 87741 and 87747?

Answer: GCF of 87741 and 87747 is 3.

2. What are the Factors of 87741?

Answer: Factors of 87741 are 1, 3, 9, 9749, 29247, 87741. There are 6 integers that are factors of 87741. The greatest factor of 87741 is 87741.

3. What are the Factors of 87747?

Answer: Factors of 87747 are 1, 3, 11, 33, 2659, 7977, 29249, 87747. There are 8 integers that are factors of 87747. The greatest factor of 87747 is 87747.

4. How to Find the GCF of 87741 and 87747?

Answer:

Greatest Common Factor of 87741 and 87747 = 3

Step 1: Find the prime factorization of 87741

87741 = 3 x 3 x 9749

Step 2: Find the prime factorization of 87747

87747 = 3 x 11 x 2659

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 87741 and 87747 is 3