Greatest Common Factor of 420 and 425

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 420, 425 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 420 and 425 is 5.

GCF(420,425) = 5

GCF of 420 and 425

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

GCF of:
and

Greatest Common Factor of 420 and 425

GCF of 420 and 425 is 5

Prime Factorization of 420


2 420
2 210
3 105
5 35
7 7
1

Prime factors of 420 are 2,3,5,7. Prime factorization of 420 in exponential form is:

420 = 22×31×51×71

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

∴ So by taking common prime factors GCF of 420 and 425 is 5

Greatest Common Factor of 420 and 425 by matching factors method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 425

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

1,5,17,25,85,425

Greatest Common Factor

We found the factors and prime factorization of 420 and 425. The biggest common factor number is the GCF number.
So the greatest common factor 420 and 425 is 5.

Also check out the Least Common Multiple of 420 and 425

Properties of GCF 420 and 425

(i) The GCF of 420 and 425 is associative

GCF of 420 and 425 = GCF of 425 and 420

Related Greatest Common Factor of 420

Related Greatest Common Factor of 425

Frequently Asked Questions on GCF of 420 and 425

1. What is the GCF of 420 and 425?

Answer: GCF of 420 and 425 is 5.

2. What are the Factors of 420?

Answer: Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420. There are 24 integers that are factors of 420. The greatest factor of 420 is 420.

3. 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.

4. How to Find the GCF of 420 and 425?

Answer:

Greatest Common Factor of 420 and 425 = 5

Step 1: Find the prime factorization of 420

420 = 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 425

425 = 5 x 5 x 17

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 420 and 425 is 5