Greatest Common Factor of 7415 and 7420

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 7415, 7420 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7415 and 7420 is 5.

GCF(7415,7420) = 5

GCF of 7415 and 7420

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

GCF of:
and

Greatest Common Factor of 7415 and 7420

GCF of 7415 and 7420 is 5

Prime Factorization of 7415


5 7415
1483 1483
1

Prime factors of 7415 are 5,1483. Prime factorization of 7415 in exponential form is:

7415 = 51×14831

Prime Factorization of 7420


2 7420
2 3710
5 1855
7 371
53 53
1

Prime factors of 7420 are 2,5,7,53. Prime factorization of 7420 in exponential form is:

7420 = 22×51×71×531

∴ So by taking common prime factors GCF of 7415 and 7420 is 5

Greatest Common Factor of 7415 and 7420 by matching factors method

Factors of 7415

List of positive integer factors of 7415 that divides 7415 without a remainder.

1,5,1483,7415

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Greatest Common Factor

We found the factors and prime factorization of 7415 and 7420. The biggest common factor number is the GCF number.
So the greatest common factor 7415 and 7420 is 5.

Also check out the Least Common Multiple of 7415 and 7420

Properties of GCF 7415 and 7420

(i) The GCF of 7415 and 7420 is associative

GCF of 7415 and 7420 = GCF of 7420 and 7415

Related Greatest Common Factor of 7415

Related Greatest Common Factor of 7420

Frequently Asked Questions on GCF of 7415 and 7420

1. What is the GCF of 7415 and 7420?

Answer: GCF of 7415 and 7420 is 5.

2. What are the Factors of 7415?

Answer: Factors of 7415 are 1, 5, 1483, 7415. There are 4 integers that are factors of 7415. The greatest factor of 7415 is 7415.

3. What are the Factors of 7420?

Answer: Factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420. There are 24 integers that are factors of 7420. The greatest factor of 7420 is 7420.

4. How to Find the GCF of 7415 and 7420?

Answer:

Greatest Common Factor of 7415 and 7420 = 5

Step 1: Find the prime factorization of 7415

7415 = 5 x 1483

Step 2: Find the prime factorization of 7420

7420 = 2 x 2 x 5 x 7 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7415 and 7420 is 5