Greatest Common Factor of 7416 and 7421

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 7416, 7421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7416 and 7421 is 1.

GCF(7416,7421) = 1

GCF of 7416 and 7421

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

GCF of:
and

Greatest Common Factor of 7416 and 7421

GCF of 7416 and 7421 is 1

Prime Factorization of 7416


2 7416
2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 7416 are 2,3,103. Prime factorization of 7416 in exponential form is:

7416 = 23×32×1031

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

∴ So by taking common prime factors GCF of 7416 and 7421 is 1

Greatest Common Factor of 7416 and 7421 by matching factors method

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Factors of 7421

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

1,41,181,7421

Greatest Common Factor

We found the factors and prime factorization of 7416 and 7421. The biggest common factor number is the GCF number.
So the greatest common factor 7416 and 7421 is 1.

Also check out the Least Common Multiple of 7416 and 7421

Properties of GCF 7416 and 7421

(i) The GCF of 7416 and 7421 is associative

GCF of 7416 and 7421 = GCF of 7421 and 7416

Related Greatest Common Factor of 7416

Related Greatest Common Factor of 7421

Frequently Asked Questions on GCF of 7416 and 7421

1. What is the GCF of 7416 and 7421?

Answer: GCF of 7416 and 7421 is 1.

2. What are the Factors of 7416?

Answer: Factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416. There are 24 integers that are factors of 7416. The greatest factor of 7416 is 7416.

3. 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.

4. How to Find the GCF of 7416 and 7421?

Answer:

Greatest Common Factor of 7416 and 7421 = 1

Step 1: Find the prime factorization of 7416

7416 = 2 x 2 x 2 x 3 x 3 x 103

Step 2: Find the prime factorization of 7421

7421 = 41 x 181

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 7416 and 7421 is 1