Greatest Common Factor of 7437 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 7437, 7441 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7437 and 7441 is 1.

GCF(7437,7441) = 1

GCF of 7437 and 7441

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

GCF of:
and

Greatest Common Factor of 7437 and 7441

GCF of 7437 and 7441 is 1

Prime Factorization of 7437


3 7437
37 2479
67 67
1

Prime factors of 7437 are 3,37,67. Prime factorization of 7437 in exponential form is:

7437 = 31×371×671

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 7437 and 7441 is 1

Greatest Common Factor of 7437 and 7441 by matching factors method

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1,3,37,67,111,201,2479,7437

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 7437 and 7441. The biggest common factor number is the GCF number.
So the greatest common factor 7437 and 7441 is 1.

Also check out the Least Common Multiple of 7437 and 7441

Properties of GCF 7437 and 7441

(i) The GCF of 7437 and 7441 is associative

GCF of 7437 and 7441 = GCF of 7441 and 7437

Related Greatest Common Factor of 7437

Related Greatest Common Factor of 7441

Frequently Asked Questions on GCF of 7437 and 7441

1. What is the GCF of 7437 and 7441?

Answer: GCF of 7437 and 7441 is 1.

2. What are the Factors of 7437?

Answer: Factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437. There are 8 integers that are factors of 7437. The greatest factor of 7437 is 7437.

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 7437 and 7441?

Answer:

Greatest Common Factor of 7437 and 7441 = 1

Step 1: Find the prime factorization of 7437

7437 = 3 x 37 x 67

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 = = 1

Step 4: Therefore, the greatest common factor of 7437 and 7441 is 1