Greatest Common Factor of 8729 and 8736

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 8729, 8736 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8729 and 8736 is 7.

GCF(8729,8736) = 7

GCF of 8729 and 8736

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

GCF of:
and

Greatest Common Factor of 8729 and 8736

GCF of 8729 and 8736 is 7

Prime Factorization of 8729


7 8729
29 1247
43 43
1

Prime factors of 8729 are 7,29,43. Prime factorization of 8729 in exponential form is:

8729 = 71×291×431

Prime Factorization of 8736


2 8736
2 4368
2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 8736 are 2,3,7,13. Prime factorization of 8736 in exponential form is:

8736 = 25×31×71×131

∴ So by taking common prime factors GCF of 8729 and 8736 is 7

Greatest Common Factor of 8729 and 8736 by matching factors method

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1,7,29,43,203,301,1247,8729

Factors of 8736

List of positive integer factors of 8736 that divides 8736 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736

Greatest Common Factor

We found the factors and prime factorization of 8729 and 8736. The biggest common factor number is the GCF number.
So the greatest common factor 8729 and 8736 is 7.

Also check out the Least Common Multiple of 8729 and 8736

Properties of GCF 8729 and 8736

(i) The GCF of 8729 and 8736 is associative

GCF of 8729 and 8736 = GCF of 8736 and 8729

Related Greatest Common Factor of 8729

Related Greatest Common Factor of 8736

Frequently Asked Questions on GCF of 8729 and 8736

1. What is the GCF of 8729 and 8736?

Answer: GCF of 8729 and 8736 is 7.

2. What are the Factors of 8729?

Answer: Factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729. There are 8 integers that are factors of 8729. The greatest factor of 8729 is 8729.

3. What are the Factors of 8736?

Answer: Factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736. There are 48 integers that are factors of 8736. The greatest factor of 8736 is 8736.

4. How to Find the GCF of 8729 and 8736?

Answer:

Greatest Common Factor of 8729 and 8736 = 7

Step 1: Find the prime factorization of 8729

8729 = 7 x 29 x 43

Step 2: Find the prime factorization of 8736

8736 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13

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 8729 and 8736 is 7