Greatest Common Factor of 768 and 773

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 768, 773 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 768 and 773 is 1.

GCF(768,773) = 1

GCF of 768 and 773

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

GCF of:
and

Greatest Common Factor of 768 and 773

GCF of 768 and 773 is 1

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

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

∴ So by taking common prime factors GCF of 768 and 773 is 1

Greatest Common Factor of 768 and 773 by matching factors method

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

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors and prime factorization of 768 and 773. The biggest common factor number is the GCF number.
So the greatest common factor 768 and 773 is 1.

Also check out the Least Common Multiple of 768 and 773

Properties of GCF 768 and 773

(i) The GCF of 768 and 773 is associative

GCF of 768 and 773 = GCF of 773 and 768

Related Greatest Common Factor of 768

Related Greatest Common Factor of 773

Frequently Asked Questions on GCF of 768 and 773

1. What is the GCF of 768 and 773?

Answer: GCF of 768 and 773 is 1.

2. 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.

3. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

4. How to Find the GCF of 768 and 773?

Answer:

Greatest Common Factor of 768 and 773 = 1

Step 1: 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 2: Find the prime factorization of 773

773 = 773

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 768 and 773 is 1