Greatest Common Factor of 8920 and 8922

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 8920, 8922 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8920 and 8922 is 2.

GCF(8920,8922) = 2

GCF of 8920 and 8922

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

GCF of:
and

Greatest Common Factor of 8920 and 8922

GCF of 8920 and 8922 is 2

Prime Factorization of 8920


2 8920
2 4460
2 2230
5 1115
223 223
1

Prime factors of 8920 are 2,5,223. Prime factorization of 8920 in exponential form is:

8920 = 23×51×2231

Prime Factorization of 8922


2 8922
3 4461
1487 1487
1

Prime factors of 8922 are 2,3,1487. Prime factorization of 8922 in exponential form is:

8922 = 21×31×14871

∴ So by taking common prime factors GCF of 8920 and 8922 is 2

Greatest Common Factor of 8920 and 8922 by matching factors method

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Factors of 8922

List of positive integer factors of 8922 that divides 8922 without a remainder.

1,2,3,6,1487,2974,4461,8922

Greatest Common Factor

We found the factors and prime factorization of 8920 and 8922. The biggest common factor number is the GCF number.
So the greatest common factor 8920 and 8922 is 2.

Also check out the Least Common Multiple of 8920 and 8922

Properties of GCF 8920 and 8922

(i) The GCF of 8920 and 8922 is associative

GCF of 8920 and 8922 = GCF of 8922 and 8920

Related Greatest Common Factor of 8920

Related Greatest Common Factor of 8922

Frequently Asked Questions on GCF of 8920 and 8922

1. What is the GCF of 8920 and 8922?

Answer: GCF of 8920 and 8922 is 2.

2. What are the Factors of 8920?

Answer: Factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920. There are 16 integers that are factors of 8920. The greatest factor of 8920 is 8920.

3. What are the Factors of 8922?

Answer: Factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922. There are 8 integers that are factors of 8922. The greatest factor of 8922 is 8922.

4. How to Find the GCF of 8920 and 8922?

Answer:

Greatest Common Factor of 8920 and 8922 = 2

Step 1: Find the prime factorization of 8920

8920 = 2 x 2 x 2 x 5 x 223

Step 2: Find the prime factorization of 8922

8922 = 2 x 3 x 1487

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 8920 and 8922 is 2