Greatest Common Factor of 716 and 722

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 716, 722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 716 and 722 is 2.

GCF(716,722) = 2

GCF of 716 and 722

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

GCF of:
and

Greatest Common Factor of 716 and 722

GCF of 716 and 722 is 2

Prime Factorization of 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

Prime Factorization of 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

∴ So by taking common prime factors GCF of 716 and 722 is 2

Greatest Common Factor of 716 and 722 by matching factors method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors and prime factorization of 716 and 722. The biggest common factor number is the GCF number.
So the greatest common factor 716 and 722 is 2.

Also check out the Least Common Multiple of 716 and 722

Properties of GCF 716 and 722

(i) The GCF of 716 and 722 is associative

GCF of 716 and 722 = GCF of 722 and 716

Related Greatest Common Factor of 716

Related Greatest Common Factor of 722

Frequently Asked Questions on GCF of 716 and 722

1. What is the GCF of 716 and 722?

Answer: GCF of 716 and 722 is 2.

2. What are the Factors of 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

3. What are the Factors of 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

4. How to Find the GCF of 716 and 722?

Answer:

Greatest Common Factor of 716 and 722 = 2

Step 1: Find the prime factorization of 716

716 = 2 x 2 x 179

Step 2: Find the prime factorization of 722

722 = 2 x 19 x 19

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 716 and 722 is 2