Greatest Common Factor of 81738 and 81746

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 81738, 81746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81738 and 81746 is 2.

GCF(81738,81746) = 2

GCF of 81738 and 81746

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

GCF of:
and

Greatest Common Factor of 81738 and 81746

GCF of 81738 and 81746 is 2

Prime Factorization of 81738


2 81738
3 40869
3 13623
19 4541
239 239
1

Prime factors of 81738 are 2,3,19,239. Prime factorization of 81738 in exponential form is:

81738 = 21×32×191×2391

Prime Factorization of 81746


2 81746
7 40873
5839 5839
1

Prime factors of 81746 are 2,7,5839. Prime factorization of 81746 in exponential form is:

81746 = 21×71×58391

∴ So by taking common prime factors GCF of 81738 and 81746 is 2

Greatest Common Factor of 81738 and 81746 by matching factors method

Factors of 81738

List of positive integer factors of 81738 that divides 81738 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,239,342,478,717,1434,2151,4302,4541,9082,13623,27246,40869,81738

Factors of 81746

List of positive integer factors of 81746 that divides 81746 without a remainder.

1,2,7,14,5839,11678,40873,81746

Greatest Common Factor

We found the factors and prime factorization of 81738 and 81746. The biggest common factor number is the GCF number.
So the greatest common factor 81738 and 81746 is 2.

Also check out the Least Common Multiple of 81738 and 81746

Properties of GCF 81738 and 81746

(i) The GCF of 81738 and 81746 is associative

GCF of 81738 and 81746 = GCF of 81746 and 81738

Related Greatest Common Factor of 81738

Related Greatest Common Factor of 81746

Frequently Asked Questions on GCF of 81738 and 81746

1. What is the GCF of 81738 and 81746?

Answer: GCF of 81738 and 81746 is 2.

2. What are the Factors of 81738?

Answer: Factors of 81738 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 239, 342, 478, 717, 1434, 2151, 4302, 4541, 9082, 13623, 27246, 40869, 81738. There are 24 integers that are factors of 81738. The greatest factor of 81738 is 81738.

3. What are the Factors of 81746?

Answer: Factors of 81746 are 1, 2, 7, 14, 5839, 11678, 40873, 81746. There are 8 integers that are factors of 81746. The greatest factor of 81746 is 81746.

4. How to Find the GCF of 81738 and 81746?

Answer:

Greatest Common Factor of 81738 and 81746 = 2

Step 1: Find the prime factorization of 81738

81738 = 2 x 3 x 3 x 19 x 239

Step 2: Find the prime factorization of 81746

81746 = 2 x 7 x 5839

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 81738 and 81746 is 2