Greatest Common Factor of 7410 and 7416

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 7410, 7416 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7410 and 7416 is 6.

GCF(7410,7416) = 6

GCF of 7410 and 7416

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

GCF of:
and

Greatest Common Factor of 7410 and 7416

GCF of 7410 and 7416 is 6

Prime Factorization of 7410


2 7410
3 3705
5 1235
13 247
19 19
1

Prime factors of 7410 are 2,3,5,13,19. Prime factorization of 7410 in exponential form is:

7410 = 21×31×51×131×191

Prime Factorization of 7416


2 7416
2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 7416 are 2,3,103. Prime factorization of 7416 in exponential form is:

7416 = 23×32×1031

∴ So by taking common prime factors GCF of 7410 and 7416 is 6

Greatest Common Factor of 7410 and 7416 by matching factors method

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Greatest Common Factor

We found the factors and prime factorization of 7410 and 7416. The biggest common factor number is the GCF number.
So the greatest common factor 7410 and 7416 is 6.

Also check out the Least Common Multiple of 7410 and 7416

Properties of GCF 7410 and 7416

(i) The GCF of 7410 and 7416 is associative

GCF of 7410 and 7416 = GCF of 7416 and 7410

Related Greatest Common Factor of 7410

Related Greatest Common Factor of 7416

Frequently Asked Questions on GCF of 7410 and 7416

1. What is the GCF of 7410 and 7416?

Answer: GCF of 7410 and 7416 is 6.

2. What are the Factors of 7410?

Answer: Factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410. There are 32 integers that are factors of 7410. The greatest factor of 7410 is 7410.

3. What are the Factors of 7416?

Answer: Factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416. There are 24 integers that are factors of 7416. The greatest factor of 7416 is 7416.

4. How to Find the GCF of 7410 and 7416?

Answer:

Greatest Common Factor of 7410 and 7416 = 6

Step 1: Find the prime factorization of 7410

7410 = 2 x 3 x 5 x 13 x 19

Step 2: Find the prime factorization of 7416

7416 = 2 x 2 x 2 x 3 x 3 x 103

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 7410 and 7416 is 6