Greatest Common Factor of 8714 and 8722

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 8714, 8722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8714 and 8722 is 2.

GCF(8714,8722) = 2

GCF of 8714 and 8722

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

GCF of:
and

Greatest Common Factor of 8714 and 8722

GCF of 8714 and 8722 is 2

Prime Factorization of 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

Prime Factorization of 8722


2 8722
7 4361
7 623
89 89
1

Prime factors of 8722 are 2,7,89. Prime factorization of 8722 in exponential form is:

8722 = 21×72×891

∴ So by taking common prime factors GCF of 8714 and 8722 is 2

Greatest Common Factor of 8714 and 8722 by matching factors method

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1,2,4357,8714

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors and prime factorization of 8714 and 8722. The biggest common factor number is the GCF number.
So the greatest common factor 8714 and 8722 is 2.

Also check out the Least Common Multiple of 8714 and 8722

Properties of GCF 8714 and 8722

(i) The GCF of 8714 and 8722 is associative

GCF of 8714 and 8722 = GCF of 8722 and 8714

Related Greatest Common Factor of 8714

Related Greatest Common Factor of 8722

Frequently Asked Questions on GCF of 8714 and 8722

1. What is the GCF of 8714 and 8722?

Answer: GCF of 8714 and 8722 is 2.

2. What are the Factors of 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

3. What are the Factors of 8722?

Answer: Factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722. There are 12 integers that are factors of 8722. The greatest factor of 8722 is 8722.

4. How to Find the GCF of 8714 and 8722?

Answer:

Greatest Common Factor of 8714 and 8722 = 2

Step 1: Find the prime factorization of 8714

8714 = 2 x 4357

Step 2: Find the prime factorization of 8722

8722 = 2 x 7 x 7 x 89

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 8714 and 8722 is 2