Greatest Common Factor of 772 and 775

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 772, 775 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 772 and 775 is 1.

GCF(772,775) = 1

GCF of 772 and 775

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

GCF of:
and

Greatest Common Factor of 772 and 775

GCF of 772 and 775 is 1

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

Prime Factorization of 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

∴ So by taking common prime factors GCF of 772 and 775 is 1

Greatest Common Factor of 772 and 775 by matching factors method

Factors of 772

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

1,2,4,193,386,772

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors and prime factorization of 772 and 775. The biggest common factor number is the GCF number.
So the greatest common factor 772 and 775 is 1.

Also check out the Least Common Multiple of 772 and 775

Properties of GCF 772 and 775

(i) The GCF of 772 and 775 is associative

GCF of 772 and 775 = GCF of 775 and 772

Related Greatest Common Factor of 772

Related Greatest Common Factor of 775

Frequently Asked Questions on GCF of 772 and 775

1. What is the GCF of 772 and 775?

Answer: GCF of 772 and 775 is 1.

2. 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.

3. What are the Factors of 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

4. How to Find the GCF of 772 and 775?

Answer:

Greatest Common Factor of 772 and 775 = 1

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 775

775 = 5 x 5 x 31

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 772 and 775 is 1