Greatest Common Factor of 8768 and 8769

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 8768, 8769 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8768 and 8769 is 1.

GCF(8768,8769) = 1

GCF of 8768 and 8769

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

GCF of:
and

Greatest Common Factor of 8768 and 8769

GCF of 8768 and 8769 is 1

Prime Factorization of 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

Prime Factorization of 8769


3 8769
37 2923
79 79
1

Prime factors of 8769 are 3,37,79. Prime factorization of 8769 in exponential form is:

8769 = 31×371×791

∴ So by taking common prime factors GCF of 8768 and 8769 is 1

Greatest Common Factor of 8768 and 8769 by matching factors method

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Factors of 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1,3,37,79,111,237,2923,8769

Greatest Common Factor

We found the factors and prime factorization of 8768 and 8769. The biggest common factor number is the GCF number.
So the greatest common factor 8768 and 8769 is 1.

Also check out the Least Common Multiple of 8768 and 8769

Properties of GCF 8768 and 8769

(i) The GCF of 8768 and 8769 is associative

GCF of 8768 and 8769 = GCF of 8769 and 8768

Related Greatest Common Factor of 8768

Related Greatest Common Factor of 8769

Frequently Asked Questions on GCF of 8768 and 8769

1. What is the GCF of 8768 and 8769?

Answer: GCF of 8768 and 8769 is 1.

2. What are the Factors of 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

3. What are the Factors of 8769?

Answer: Factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769. There are 8 integers that are factors of 8769. The greatest factor of 8769 is 8769.

4. How to Find the GCF of 8768 and 8769?

Answer:

Greatest Common Factor of 8768 and 8769 = 1

Step 1: Find the prime factorization of 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 8769

8769 = 3 x 37 x 79

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8768 and 8769 is 1