Greatest Common Factor of 766 and 772

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 766, 772 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 766 and 772 is 2.

GCF(766,772) = 2

GCF of 766 and 772

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

GCF of:
and

Greatest Common Factor of 766 and 772

GCF of 766 and 772 is 2

Prime Factorization of 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

Prime Factorization of 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

∴ So by taking common prime factors GCF of 766 and 772 is 2

Greatest Common Factor of 766 and 772 by matching factors method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors and prime factorization of 766 and 772. The biggest common factor number is the GCF number.
So the greatest common factor 766 and 772 is 2.

Also check out the Least Common Multiple of 766 and 772

Properties of GCF 766 and 772

(i) The GCF of 766 and 772 is associative

GCF of 766 and 772 = GCF of 772 and 766

Related Greatest Common Factor of 766

Related Greatest Common Factor of 772

Frequently Asked Questions on GCF of 766 and 772

1. What is the GCF of 766 and 772?

Answer: GCF of 766 and 772 is 2.

2. What are the Factors of 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

3. What are the Factors of 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the GCF of 766 and 772?

Answer:

Greatest Common Factor of 766 and 772 = 2

Step 1: Find the prime factorization of 766

766 = 2 x 383

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

GCF = 2

Step 4: Therefore, the greatest common factor of 766 and 772 is 2