Greatest Common Factor of 7421 and 7423

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 7421, 7423 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7421 and 7423 is 1.

GCF(7421,7423) = 1

GCF of 7421 and 7423

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

GCF of:
and

Greatest Common Factor of 7421 and 7423

GCF of 7421 and 7423 is 1

Prime Factorization of 7421


41 7421
181 181
1

Prime factors of 7421 are 41,181. Prime factorization of 7421 in exponential form is:

7421 = 411×1811

Prime Factorization of 7423


13 7423
571 571
1

Prime factors of 7423 are 13,571. Prime factorization of 7423 in exponential form is:

7423 = 131×5711

∴ So by taking common prime factors GCF of 7421 and 7423 is 1

Greatest Common Factor of 7421 and 7423 by matching factors method

Factors of 7421

List of positive integer factors of 7421 that divides 7421 without a remainder.

1,41,181,7421

Factors of 7423

List of positive integer factors of 7423 that divides 7423 without a remainder.

1,13,571,7423

Greatest Common Factor

We found the factors and prime factorization of 7421 and 7423. The biggest common factor number is the GCF number.
So the greatest common factor 7421 and 7423 is 1.

Also check out the Least Common Multiple of 7421 and 7423

Properties of GCF 7421 and 7423

(i) The GCF of 7421 and 7423 is associative

GCF of 7421 and 7423 = GCF of 7423 and 7421

Related Greatest Common Factor of 7421

Related Greatest Common Factor of 7423

Frequently Asked Questions on GCF of 7421 and 7423

1. What is the GCF of 7421 and 7423?

Answer: GCF of 7421 and 7423 is 1.

2. What are the Factors of 7421?

Answer: Factors of 7421 are 1, 41, 181, 7421. There are 4 integers that are factors of 7421. The greatest factor of 7421 is 7421.

3. What are the Factors of 7423?

Answer: Factors of 7423 are 1, 13, 571, 7423. There are 4 integers that are factors of 7423. The greatest factor of 7423 is 7423.

4. How to Find the GCF of 7421 and 7423?

Answer:

Greatest Common Factor of 7421 and 7423 = 1

Step 1: Find the prime factorization of 7421

7421 = 41 x 181

Step 2: Find the prime factorization of 7423

7423 = 13 x 571

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 7421 and 7423 is 1