Greatest Common Factor of 7434 and 7440

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 7434, 7440 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7434 and 7440 is 6.

GCF(7434,7440) = 6

GCF of 7434 and 7440

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

GCF of:
and

Greatest Common Factor of 7434 and 7440

GCF of 7434 and 7440 is 6

Prime Factorization of 7434


2 7434
3 3717
3 1239
7 413
59 59
1

Prime factors of 7434 are 2,3,7,59. Prime factorization of 7434 in exponential form is:

7434 = 21×32×71×591

Prime Factorization of 7440


2 7440
2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 7440 are 2,3,5,31. Prime factorization of 7440 in exponential form is:

7440 = 24×31×51×311

∴ So by taking common prime factors GCF of 7434 and 7440 is 6

Greatest Common Factor of 7434 and 7440 by matching factors method

Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434

Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440

Greatest Common Factor

We found the factors and prime factorization of 7434 and 7440. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7440 is 6.

Also check out the Least Common Multiple of 7434 and 7440

Properties of GCF 7434 and 7440

(i) The GCF of 7434 and 7440 is associative

GCF of 7434 and 7440 = GCF of 7440 and 7434

Related Greatest Common Factor of 7434

Related Greatest Common Factor of 7440

Frequently Asked Questions on GCF of 7434 and 7440

1. What is the GCF of 7434 and 7440?

Answer: GCF of 7434 and 7440 is 6.

2. What are the Factors of 7434?

Answer: Factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434. There are 24 integers that are factors of 7434. The greatest factor of 7434 is 7434.

3. What are the Factors of 7440?

Answer: Factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440. There are 40 integers that are factors of 7440. The greatest factor of 7440 is 7440.

4. How to Find the GCF of 7434 and 7440?

Answer:

Greatest Common Factor of 7434 and 7440 = 6

Step 1: Find the prime factorization of 7434

7434 = 2 x 3 x 3 x 7 x 59

Step 2: Find the prime factorization of 7440

7440 = 2 x 2 x 2 x 2 x 3 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 x 3 = 6

Step 4: Therefore, the greatest common factor of 7434 and 7440 is 6