Greatest Common Factor of 7914 and 7920

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 7914, 7920 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7914 and 7920 is 6.

GCF(7914,7920) = 6

GCF of 7914 and 7920

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

GCF of:
and

Greatest Common Factor of 7914 and 7920

GCF of 7914 and 7920 is 6

Prime Factorization of 7914


2 7914
3 3957
1319 1319
1

Prime factors of 7914 are 2,3,1319. Prime factorization of 7914 in exponential form is:

7914 = 21×31×13191

Prime Factorization of 7920


2 7920
2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 7920 are 2,3,5,11. Prime factorization of 7920 in exponential form is:

7920 = 24×32×51×111

∴ So by taking common prime factors GCF of 7914 and 7920 is 6

Greatest Common Factor of 7914 and 7920 by matching factors method

Factors of 7914

List of positive integer factors of 7914 that divides 7914 without a remainder.

1,2,3,6,1319,2638,3957,7914

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors and prime factorization of 7914 and 7920. The biggest common factor number is the GCF number.
So the greatest common factor 7914 and 7920 is 6.

Also check out the Least Common Multiple of 7914 and 7920

Properties of GCF 7914 and 7920

(i) The GCF of 7914 and 7920 is associative

GCF of 7914 and 7920 = GCF of 7920 and 7914

Related Greatest Common Factor of 7914

Related Greatest Common Factor of 7920

Frequently Asked Questions on GCF of 7914 and 7920

1. What is the GCF of 7914 and 7920?

Answer: GCF of 7914 and 7920 is 6.

2. What are the Factors of 7914?

Answer: Factors of 7914 are 1, 2, 3, 6, 1319, 2638, 3957, 7914. There are 8 integers that are factors of 7914. The greatest factor of 7914 is 7914.

3. What are the Factors of 7920?

Answer: Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920. There are 60 integers that are factors of 7920. The greatest factor of 7920 is 7920.

4. How to Find the GCF of 7914 and 7920?

Answer:

Greatest Common Factor of 7914 and 7920 = 6

Step 1: Find the prime factorization of 7914

7914 = 2 x 3 x 1319

Step 2: Find the prime factorization of 7920

7920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7914 and 7920 is 6