Greatest Common Factor of 420 and 427

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, 427 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 420 and 427 is 7.

GCF(420,427) = 7

GCF of 420 and 427

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

GCF of:
and

Greatest Common Factor of 420 and 427

GCF of 420 and 427 is 7

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 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

∴ So by taking common prime factors GCF of 420 and 427 is 7

Greatest Common Factor of 420 and 427 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 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors and prime factorization of 420 and 427. The biggest common factor number is the GCF number.
So the greatest common factor 420 and 427 is 7.

Also check out the Least Common Multiple of 420 and 427

Properties of GCF 420 and 427

(i) The GCF of 420 and 427 is associative

GCF of 420 and 427 = GCF of 427 and 420

Related Greatest Common Factor of 420

Related Greatest Common Factor of 427

Frequently Asked Questions on GCF of 420 and 427

1. What is the GCF of 420 and 427?

Answer: GCF of 420 and 427 is 7.

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 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. How to Find the GCF of 420 and 427?

Answer:

Greatest Common Factor of 420 and 427 = 7

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 427

427 = 7 x 61

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

GCF = 7

Step 4: Therefore, the greatest common factor of 420 and 427 is 7