Greatest Common Factor of 8736 and 8743

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 8736, 8743 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8736 and 8743 is 7.

GCF(8736,8743) = 7

GCF of 8736 and 8743

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

GCF of:
and

Greatest Common Factor of 8736 and 8743

GCF of 8736 and 8743 is 7

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

Prime Factorization of 8743


7 8743
1249 1249
1

Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:

8743 = 71×12491

∴ So by taking common prime factors GCF of 8736 and 8743 is 7

Greatest Common Factor of 8736 and 8743 by matching factors method

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

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1,7,1249,8743

Greatest Common Factor

We found the factors and prime factorization of 8736 and 8743. The biggest common factor number is the GCF number.
So the greatest common factor 8736 and 8743 is 7.

Also check out the Least Common Multiple of 8736 and 8743

Properties of GCF 8736 and 8743

(i) The GCF of 8736 and 8743 is associative

GCF of 8736 and 8743 = GCF of 8743 and 8736

Related Greatest Common Factor of 8736

Related Greatest Common Factor of 8743

Frequently Asked Questions on GCF of 8736 and 8743

1. What is the GCF of 8736 and 8743?

Answer: GCF of 8736 and 8743 is 7.

2. 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.

3. What are the Factors of 8743?

Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.

4. How to Find the GCF of 8736 and 8743?

Answer:

Greatest Common Factor of 8736 and 8743 = 7

Step 1: Find the prime factorization of 8736

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

Step 2: Find the prime factorization of 8743

8743 = 7 x 1249

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 8736 and 8743 is 7