Greatest Common Factor of 81767 and 81774

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 81767, 81774 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 81767 and 81774 is 7.

GCF(81767,81774) = 7

GCF of 81767 and 81774

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

GCF of:
and

Greatest Common Factor of 81767 and 81774

GCF of 81767 and 81774 is 7

Prime Factorization of 81767


7 81767
11681 11681
1

Prime factors of 81767 are 7,11681. Prime factorization of 81767 in exponential form is:

81767 = 71×116811

Prime Factorization of 81774


2 81774
3 40887
3 13629
7 4543
11 649
59 59
1

Prime factors of 81774 are 2,3,7,11,59. Prime factorization of 81774 in exponential form is:

81774 = 21×32×71×111×591

∴ So by taking common prime factors GCF of 81767 and 81774 is 7

Greatest Common Factor of 81767 and 81774 by matching factors method

Factors of 81767

List of positive integer factors of 81767 that divides 81767 without a remainder.

1,7,11681,81767

Factors of 81774

List of positive integer factors of 81774 that divides 81774 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,59,63,66,77,99,118,126,154,177,198,231,354,413,462,531,649,693,826,1062,1239,1298,1386,1947,2478,3717,3894,4543,5841,7434,9086,11682,13629,27258,40887,81774

Greatest Common Factor

We found the factors and prime factorization of 81767 and 81774. The biggest common factor number is the GCF number.
So the greatest common factor 81767 and 81774 is 7.

Also check out the Least Common Multiple of 81767 and 81774

Properties of GCF 81767 and 81774

(i) The GCF of 81767 and 81774 is associative

GCF of 81767 and 81774 = GCF of 81774 and 81767

Related Greatest Common Factor of 81767

Related Greatest Common Factor of 81774

Frequently Asked Questions on GCF of 81767 and 81774

1. What is the GCF of 81767 and 81774?

Answer: GCF of 81767 and 81774 is 7.

2. What are the Factors of 81767?

Answer: Factors of 81767 are 1, 7, 11681, 81767. There are 4 integers that are factors of 81767. The greatest factor of 81767 is 81767.

3. What are the Factors of 81774?

Answer: Factors of 81774 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 59, 63, 66, 77, 99, 118, 126, 154, 177, 198, 231, 354, 413, 462, 531, 649, 693, 826, 1062, 1239, 1298, 1386, 1947, 2478, 3717, 3894, 4543, 5841, 7434, 9086, 11682, 13629, 27258, 40887, 81774. There are 48 integers that are factors of 81774. The greatest factor of 81774 is 81774.

4. How to Find the GCF of 81767 and 81774?

Answer:

Greatest Common Factor of 81767 and 81774 = 7

Step 1: Find the prime factorization of 81767

81767 = 7 x 11681

Step 2: Find the prime factorization of 81774

81774 = 2 x 3 x 3 x 7 x 11 x 59

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 81767 and 81774 is 7