Greatest Common Factor of 9914 and 9920

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 9914, 9920 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9914 and 9920 is 2.

GCF(9914,9920) = 2

GCF of 9914 and 9920

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

GCF of:
and

Greatest Common Factor of 9914 and 9920

GCF of 9914 and 9920 is 2

Prime Factorization of 9914


2 9914
4957 4957
1

Prime factors of 9914 are 2,4957. Prime factorization of 9914 in exponential form is:

9914 = 21×49571

Prime Factorization of 9920


2 9920
2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 9920 are 2,5,31. Prime factorization of 9920 in exponential form is:

9920 = 26×51×311

∴ So by taking common prime factors GCF of 9914 and 9920 is 2

Greatest Common Factor of 9914 and 9920 by matching factors method

Factors of 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1,2,4957,9914

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors and prime factorization of 9914 and 9920. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9920 is 2.

Also check out the Least Common Multiple of 9914 and 9920

Properties of GCF 9914 and 9920

(i) The GCF of 9914 and 9920 is associative

GCF of 9914 and 9920 = GCF of 9920 and 9914

Related Greatest Common Factor of 9914

Related Greatest Common Factor of 9920

Frequently Asked Questions on GCF of 9914 and 9920

1. What is the GCF of 9914 and 9920?

Answer: GCF of 9914 and 9920 is 2.

2. What are the Factors of 9914?

Answer: Factors of 9914 are 1, 2, 4957, 9914. There are 4 integers that are factors of 9914. The greatest factor of 9914 is 9914.

3. What are the Factors of 9920?

Answer: Factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. There are 28 integers that are factors of 9920. The greatest factor of 9920 is 9920.

4. How to Find the GCF of 9914 and 9920?

Answer:

Greatest Common Factor of 9914 and 9920 = 2

Step 1: Find the prime factorization of 9914

9914 = 2 x 4957

Step 2: Find the prime factorization of 9920

9920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31

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 9914 and 9920 is 2