Greatest Common Factor of 706 and 711

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 706, 711 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 706 and 711 is 1.

GCF(706,711) = 1

GCF of 706 and 711

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

GCF of:
and

Greatest Common Factor of 706 and 711

GCF of 706 and 711 is 1

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

Prime Factorization of 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

∴ So by taking common prime factors GCF of 706 and 711 is 1

Greatest Common Factor of 706 and 711 by matching factors method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors and prime factorization of 706 and 711. The biggest common factor number is the GCF number.
So the greatest common factor 706 and 711 is 1.

Also check out the Least Common Multiple of 706 and 711

Properties of GCF 706 and 711

(i) The GCF of 706 and 711 is associative

GCF of 706 and 711 = GCF of 711 and 706

Related Greatest Common Factor of 706

Related Greatest Common Factor of 711

Frequently Asked Questions on GCF of 706 and 711

1. What is the GCF of 706 and 711?

Answer: GCF of 706 and 711 is 1.

2. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

3. What are the Factors of 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

4. How to Find the GCF of 706 and 711?

Answer:

Greatest Common Factor of 706 and 711 = 1

Step 1: Find the prime factorization of 706

706 = 2 x 353

Step 2: Find the prime factorization of 711

711 = 3 x 3 x 79

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 706 and 711 is 1