Greatest Common Factor of 81718 and 81725

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, 81725 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81718 and 81725 is 7.

GCF(81718,81725) = 7

GCF of 81718 and 81725

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

GCF of:
and

Greatest Common Factor of 81718 and 81725

GCF of 81718 and 81725 is 7

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 81725


5 81725
5 16345
7 3269
467 467
1

Prime factors of 81725 are 5,7,467. Prime factorization of 81725 in exponential form is:

81725 = 52×71×4671

∴ So by taking common prime factors GCF of 81718 and 81725 is 7

Greatest Common Factor of 81718 and 81725 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 81725

List of positive integer factors of 81725 that divides 81725 without a remainder.

1,5,7,25,35,175,467,2335,3269,11675,16345,81725

Greatest Common Factor

We found the factors and prime factorization of 81718 and 81725. The biggest common factor number is the GCF number.
So the greatest common factor 81718 and 81725 is 7.

Also check out the Least Common Multiple of 81718 and 81725

Properties of GCF 81718 and 81725

(i) The GCF of 81718 and 81725 is associative

GCF of 81718 and 81725 = GCF of 81725 and 81718

Related Greatest Common Factor of 81718

Related Greatest Common Factor of 81725

Frequently Asked Questions on GCF of 81718 and 81725

1. What is the GCF of 81718 and 81725?

Answer: GCF of 81718 and 81725 is 7.

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 81725?

Answer: Factors of 81725 are 1, 5, 7, 25, 35, 175, 467, 2335, 3269, 11675, 16345, 81725. There are 12 integers that are factors of 81725. The greatest factor of 81725 is 81725.

4. How to Find the GCF of 81718 and 81725?

Answer:

Greatest Common Factor of 81718 and 81725 = 7

Step 1: Find the prime factorization of 81718

81718 = 2 x 7 x 13 x 449

Step 2: Find the prime factorization of 81725

81725 = 5 x 5 x 7 x 467

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

GCF = 7

Step 4: Therefore, the greatest common factor of 81718 and 81725 is 7