Greatest Common Factor of 775 and 781

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 775, 781 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 775 and 781 is 1.

GCF(775,781) = 1

GCF of 775 and 781

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

GCF of:
and

Greatest Common Factor of 775 and 781

GCF of 775 and 781 is 1

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

Prime Factorization of 781


11 781
71 71
1

Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:

781 = 111×711

∴ So by taking common prime factors GCF of 775 and 781 is 1

Greatest Common Factor of 775 and 781 by matching factors method

Factors of 775

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

1,5,25,31,155,775

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors and prime factorization of 775 and 781. The biggest common factor number is the GCF number.
So the greatest common factor 775 and 781 is 1.

Also check out the Least Common Multiple of 775 and 781

Properties of GCF 775 and 781

(i) The GCF of 775 and 781 is associative

GCF of 775 and 781 = GCF of 781 and 775

Related Greatest Common Factor of 775

Related Greatest Common Factor of 781

Frequently Asked Questions on GCF of 775 and 781

1. What is the GCF of 775 and 781?

Answer: GCF of 775 and 781 is 1.

2. 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.

3. What are the Factors of 781?

Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.

4. How to Find the GCF of 775 and 781?

Answer:

Greatest Common Factor of 775 and 781 = 1

Step 1: Find the prime factorization of 775

775 = 5 x 5 x 31

Step 2: Find the prime factorization of 781

781 = 11 x 71

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 775 and 781 is 1