Greatest Common Factor of 425 and 430

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 425, 430 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 425 and 430 is 5.

GCF(425,430) = 5

GCF of 425 and 430

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

GCF of:
and

Greatest Common Factor of 425 and 430

GCF of 425 and 430 is 5

Prime Factorization of 425


5 425
5 85
17 17
1

Prime factors of 425 are 5,17. Prime factorization of 425 in exponential form is:

425 = 52×171

Prime Factorization of 430


2 430
5 215
43 43
1

Prime factors of 430 are 2,5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

∴ So by taking common prime factors GCF of 425 and 430 is 5

Greatest Common Factor of 425 and 430 by matching factors method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors and prime factorization of 425 and 430. The biggest common factor number is the GCF number.
So the greatest common factor 425 and 430 is 5.

Also check out the Least Common Multiple of 425 and 430

Properties of GCF 425 and 430

(i) The GCF of 425 and 430 is associative

GCF of 425 and 430 = GCF of 430 and 425

Related Greatest Common Factor of 425

Related Greatest Common Factor of 430

Frequently Asked Questions on GCF of 425 and 430

1. What is the GCF of 425 and 430?

Answer: GCF of 425 and 430 is 5.

2. What are the Factors of 425?

Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.

3. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. How to Find the GCF of 425 and 430?

Answer:

Greatest Common Factor of 425 and 430 = 5

Step 1: Find the prime factorization of 425

425 = 5 x 5 x 17

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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 425 and 430 is 5