Greatest Common Factor of 7420 and 7424

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 7420, 7424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7420 and 7424 is 4.

GCF(7420,7424) = 4

GCF of 7420 and 7424

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

GCF of:
and

Greatest Common Factor of 7420 and 7424

GCF of 7420 and 7424 is 4

Prime Factorization of 7420


2 7420
2 3710
5 1855
7 371
53 53
1

Prime factors of 7420 are 2,5,7,53. Prime factorization of 7420 in exponential form is:

7420 = 22×51×71×531

Prime Factorization of 7424


2 7424
2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 7424 are 2,29. Prime factorization of 7424 in exponential form is:

7424 = 28×291

∴ So by taking common prime factors GCF of 7420 and 7424 is 4

Greatest Common Factor of 7420 and 7424 by matching factors method

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Greatest Common Factor

We found the factors and prime factorization of 7420 and 7424. The biggest common factor number is the GCF number.
So the greatest common factor 7420 and 7424 is 4.

Also check out the Least Common Multiple of 7420 and 7424

Properties of GCF 7420 and 7424

(i) The GCF of 7420 and 7424 is associative

GCF of 7420 and 7424 = GCF of 7424 and 7420

Related Greatest Common Factor of 7420

Related Greatest Common Factor of 7424

Frequently Asked Questions on GCF of 7420 and 7424

1. What is the GCF of 7420 and 7424?

Answer: GCF of 7420 and 7424 is 4.

2. What are the Factors of 7420?

Answer: Factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420. There are 24 integers that are factors of 7420. The greatest factor of 7420 is 7420.

3. What are the Factors of 7424?

Answer: Factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424. There are 18 integers that are factors of 7424. The greatest factor of 7424 is 7424.

4. How to Find the GCF of 7420 and 7424?

Answer:

Greatest Common Factor of 7420 and 7424 = 4

Step 1: Find the prime factorization of 7420

7420 = 2 x 2 x 5 x 7 x 53

Step 2: Find the prime factorization of 7424

7424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7420 and 7424 is 4