Greatest Common Factor of 7430 and 7435

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 7430, 7435 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7430 and 7435 is 5.

GCF(7430,7435) = 5

GCF of 7430 and 7435

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

GCF of:
and

Greatest Common Factor of 7430 and 7435

GCF of 7430 and 7435 is 5

Prime Factorization of 7430


2 7430
5 3715
743 743
1

Prime factors of 7430 are 2,5,743. Prime factorization of 7430 in exponential form is:

7430 = 21×51×7431

Prime Factorization of 7435


5 7435
1487 1487
1

Prime factors of 7435 are 5,1487. Prime factorization of 7435 in exponential form is:

7435 = 51×14871

∴ So by taking common prime factors GCF of 7430 and 7435 is 5

Greatest Common Factor of 7430 and 7435 by matching factors method

Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1,2,5,10,743,1486,3715,7430

Factors of 7435

List of positive integer factors of 7435 that divides 7435 without a remainder.

1,5,1487,7435

Greatest Common Factor

We found the factors and prime factorization of 7430 and 7435. The biggest common factor number is the GCF number.
So the greatest common factor 7430 and 7435 is 5.

Also check out the Least Common Multiple of 7430 and 7435

Properties of GCF 7430 and 7435

(i) The GCF of 7430 and 7435 is associative

GCF of 7430 and 7435 = GCF of 7435 and 7430

Related Greatest Common Factor of 7430

Related Greatest Common Factor of 7435

Frequently Asked Questions on GCF of 7430 and 7435

1. What is the GCF of 7430 and 7435?

Answer: GCF of 7430 and 7435 is 5.

2. What are the Factors of 7430?

Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.

3. What are the Factors of 7435?

Answer: Factors of 7435 are 1, 5, 1487, 7435. There are 4 integers that are factors of 7435. The greatest factor of 7435 is 7435.

4. How to Find the GCF of 7430 and 7435?

Answer:

Greatest Common Factor of 7430 and 7435 = 5

Step 1: Find the prime factorization of 7430

7430 = 2 x 5 x 743

Step 2: Find the prime factorization of 7435

7435 = 5 x 1487

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 7430 and 7435 is 5