Greatest Common Factor of 81718 and 81722

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 81718, 81722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81718 and 81722 is 2.

GCF(81718,81722) = 2

GCF of 81718 and 81722

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

GCF of:
and

Greatest Common Factor of 81718 and 81722

GCF of 81718 and 81722 is 2

Prime Factorization of 81718


2 81718
7 40859
13 5837
449 449
1

Prime factors of 81718 are 2,7,13,449. Prime factorization of 81718 in exponential form is:

81718 = 21×71×131×4491

Prime Factorization of 81722


2 81722
29 40861
1409 1409
1

Prime factors of 81722 are 2,29,1409. Prime factorization of 81722 in exponential form is:

81722 = 21×291×14091

∴ So by taking common prime factors GCF of 81718 and 81722 is 2

Greatest Common Factor of 81718 and 81722 by matching factors method

Factors of 81718

List of positive integer factors of 81718 that divides 81718 without a remainder.

1,2,7,13,14,26,91,182,449,898,3143,5837,6286,11674,40859,81718

Factors of 81722

List of positive integer factors of 81722 that divides 81722 without a remainder.

1,2,29,58,1409,2818,40861,81722

Greatest Common Factor

We found the factors and prime factorization of 81718 and 81722. The biggest common factor number is the GCF number.
So the greatest common factor 81718 and 81722 is 2.

Also check out the Least Common Multiple of 81718 and 81722

Properties of GCF 81718 and 81722

(i) The GCF of 81718 and 81722 is associative

GCF of 81718 and 81722 = GCF of 81722 and 81718

Related Greatest Common Factor of 81718

Related Greatest Common Factor of 81722

Frequently Asked Questions on GCF of 81718 and 81722

1. What is the GCF of 81718 and 81722?

Answer: GCF of 81718 and 81722 is 2.

2. What are the Factors of 81718?

Answer: Factors of 81718 are 1, 2, 7, 13, 14, 26, 91, 182, 449, 898, 3143, 5837, 6286, 11674, 40859, 81718. There are 16 integers that are factors of 81718. The greatest factor of 81718 is 81718.

3. What are the Factors of 81722?

Answer: Factors of 81722 are 1, 2, 29, 58, 1409, 2818, 40861, 81722. There are 8 integers that are factors of 81722. The greatest factor of 81722 is 81722.

4. How to Find the GCF of 81718 and 81722?

Answer:

Greatest Common Factor of 81718 and 81722 = 2

Step 1: Find the prime factorization of 81718

81718 = 2 x 7 x 13 x 449

Step 2: Find the prime factorization of 81722

81722 = 2 x 29 x 1409

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

GCF = 2

Step 4: Therefore, the greatest common factor of 81718 and 81722 is 2