Greatest Common Factor of 81764 and 81772

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 81764, 81772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81764 and 81772 is 4.

GCF(81764,81772) = 4

GCF of 81764 and 81772

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

GCF of:
and

Greatest Common Factor of 81764 and 81772

GCF of 81764 and 81772 is 4

Prime Factorization of 81764


2 81764
2 40882
20441 20441
1

Prime factors of 81764 are 2,20441. Prime factorization of 81764 in exponential form is:

81764 = 22×204411

Prime Factorization of 81772


2 81772
2 40886
20443 20443
1

Prime factors of 81772 are 2,20443. Prime factorization of 81772 in exponential form is:

81772 = 22×204431

∴ So by taking common prime factors GCF of 81764 and 81772 is 4

Greatest Common Factor of 81764 and 81772 by matching factors method

Factors of 81764

List of positive integer factors of 81764 that divides 81764 without a remainder.

1,2,4,20441,40882,81764

Factors of 81772

List of positive integer factors of 81772 that divides 81772 without a remainder.

1,2,4,20443,40886,81772

Greatest Common Factor

We found the factors and prime factorization of 81764 and 81772. The biggest common factor number is the GCF number.
So the greatest common factor 81764 and 81772 is 4.

Also check out the Least Common Multiple of 81764 and 81772

Properties of GCF 81764 and 81772

(i) The GCF of 81764 and 81772 is associative

GCF of 81764 and 81772 = GCF of 81772 and 81764

Related Greatest Common Factor of 81764

Related Greatest Common Factor of 81772

Frequently Asked Questions on GCF of 81764 and 81772

1. What is the GCF of 81764 and 81772?

Answer: GCF of 81764 and 81772 is 4.

2. What are the Factors of 81764?

Answer: Factors of 81764 are 1, 2, 4, 20441, 40882, 81764. There are 6 integers that are factors of 81764. The greatest factor of 81764 is 81764.

3. What are the Factors of 81772?

Answer: Factors of 81772 are 1, 2, 4, 20443, 40886, 81772. There are 6 integers that are factors of 81772. The greatest factor of 81772 is 81772.

4. How to Find the GCF of 81764 and 81772?

Answer:

Greatest Common Factor of 81764 and 81772 = 4

Step 1: Find the prime factorization of 81764

81764 = 2 x 2 x 20441

Step 2: Find the prime factorization of 81772

81772 = 2 x 2 x 20443

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 81764 and 81772 is 4