Greatest Common Factor of 767 and 768

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 767, 768 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 767 and 768 is 1.

GCF(767,768) = 1

GCF of 767 and 768

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

GCF of:
and

Greatest Common Factor of 767 and 768

GCF of 767 and 768 is 1

Prime Factorization of 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Prime Factorization of 768


2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 768 are 2,3. Prime factorization of 768 in exponential form is:

768 = 28×31

∴ So by taking common prime factors GCF of 767 and 768 is 1

Greatest Common Factor of 767 and 768 by matching factors method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors and prime factorization of 767 and 768. The biggest common factor number is the GCF number.
So the greatest common factor 767 and 768 is 1.

Also check out the Least Common Multiple of 767 and 768

Properties of GCF 767 and 768

(i) The GCF of 767 and 768 is associative

GCF of 767 and 768 = GCF of 768 and 767

Related Greatest Common Factor of 767

Related Greatest Common Factor of 768

Frequently Asked Questions on GCF of 767 and 768

1. What is the GCF of 767 and 768?

Answer: GCF of 767 and 768 is 1.

2. What are the Factors of 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

3. What are the Factors of 768?

Answer: Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. There are 18 integers that are factors of 768. The greatest factor of 768 is 768.

4. How to Find the GCF of 767 and 768?

Answer:

Greatest Common Factor of 767 and 768 = 1

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 768

768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 767 and 768 is 1