Greatest Common Factor of 7424 and 7432

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 7424, 7432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7424 and 7432 is 8.

GCF(7424,7432) = 8

GCF of 7424 and 7432

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

GCF of:
and

Greatest Common Factor of 7424 and 7432

GCF of 7424 and 7432 is 8

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

Prime Factorization of 7432


2 7432
2 3716
2 1858
929 929
1

Prime factors of 7432 are 2,929. Prime factorization of 7432 in exponential form is:

7432 = 23×9291

∴ So by taking common prime factors GCF of 7424 and 7432 is 8

Greatest Common Factor of 7424 and 7432 by matching factors method

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

Factors of 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1,2,4,8,929,1858,3716,7432

Greatest Common Factor

We found the factors and prime factorization of 7424 and 7432. The biggest common factor number is the GCF number.
So the greatest common factor 7424 and 7432 is 8.

Also check out the Least Common Multiple of 7424 and 7432

Properties of GCF 7424 and 7432

(i) The GCF of 7424 and 7432 is associative

GCF of 7424 and 7432 = GCF of 7432 and 7424

Related Greatest Common Factor of 7424

Related Greatest Common Factor of 7432

Frequently Asked Questions on GCF of 7424 and 7432

1. What is the GCF of 7424 and 7432?

Answer: GCF of 7424 and 7432 is 8.

2. 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.

3. What are the Factors of 7432?

Answer: Factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432. There are 8 integers that are factors of 7432. The greatest factor of 7432 is 7432.

4. How to Find the GCF of 7424 and 7432?

Answer:

Greatest Common Factor of 7424 and 7432 = 8

Step 1: 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 2: Find the prime factorization of 7432

7432 = 2 x 2 x 2 x 929

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7424 and 7432 is 8