Greatest Common Factor of 764 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 764, 768 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 764 and 768 is 4.

GCF(764,768) = 4

GCF of 764 and 768

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

GCF of:
and

Greatest Common Factor of 764 and 768

GCF of 764 and 768 is 4

Prime Factorization of 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

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 764 and 768 is 4

Greatest Common Factor of 764 and 768 by matching factors method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

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 764 and 768. The biggest common factor number is the GCF number.
So the greatest common factor 764 and 768 is 4.

Also check out the Least Common Multiple of 764 and 768

Properties of GCF 764 and 768

(i) The GCF of 764 and 768 is associative

GCF of 764 and 768 = GCF of 768 and 764

Related Greatest Common Factor of 764

Related Greatest Common Factor of 768

Frequently Asked Questions on GCF of 764 and 768

1. What is the GCF of 764 and 768?

Answer: GCF of 764 and 768 is 4.

2. What are the Factors of 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

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 764 and 768?

Answer:

Greatest Common Factor of 764 and 768 = 4

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 764 and 768 is 4