Greatest Common Factor of 7434 and 7441

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, 7441 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7434 and 7441 is 7.

GCF(7434,7441) = 7

GCF of 7434 and 7441

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

GCF of:
and

Greatest Common Factor of 7434 and 7441

GCF of 7434 and 7441 is 7

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 7441


7 7441
1063 1063
1

Prime factors of 7441 are 7,1063. Prime factorization of 7441 in exponential form is:

7441 = 71×10631

∴ So by taking common prime factors GCF of 7434 and 7441 is 7

Greatest Common Factor of 7434 and 7441 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 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1,7,1063,7441

Greatest Common Factor

We found the factors and prime factorization of 7434 and 7441. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7441 is 7.

Also check out the Least Common Multiple of 7434 and 7441

Properties of GCF 7434 and 7441

(i) The GCF of 7434 and 7441 is associative

GCF of 7434 and 7441 = GCF of 7441 and 7434

Related Greatest Common Factor of 7434

Related Greatest Common Factor of 7441

Frequently Asked Questions on GCF of 7434 and 7441

1. What is the GCF of 7434 and 7441?

Answer: GCF of 7434 and 7441 is 7.

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 7441?

Answer: Factors of 7441 are 1, 7, 1063, 7441. There are 4 integers that are factors of 7441. The greatest factor of 7441 is 7441.

4. How to Find the GCF of 7434 and 7441?

Answer:

Greatest Common Factor of 7434 and 7441 = 7

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 7441

7441 = 7 x 1063

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7434 and 7441 is 7