Greatest Common Factor of 306420 and 306428

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 306420, 306428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 306420 and 306428 is 4.

GCF(306420,306428) = 4

GCF of 306420 and 306428

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

GCF of:
and

Greatest Common Factor of 306420 and 306428

GCF of 306420 and 306428 is 4

Prime Factorization of 306420


2 306420
2 153210
3 76605
5 25535
5107 5107
1

Prime factors of 306420 are 2,3,5,5107. Prime factorization of 306420 in exponential form is:

306420 = 22×31×51×51071

Prime Factorization of 306428


2 306428
2 153214
76607 76607
1

Prime factors of 306428 are 2,76607. Prime factorization of 306428 in exponential form is:

306428 = 22×766071

∴ So by taking common prime factors GCF of 306420 and 306428 is 4

Greatest Common Factor of 306420 and 306428 by matching factors method

Factors of 306420

List of positive integer factors of 306420 that divides 306420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,5107,10214,15321,20428,25535,30642,51070,61284,76605,102140,153210,306420

Factors of 306428

List of positive integer factors of 306428 that divides 306428 without a remainder.

1,2,4,76607,153214,306428

Greatest Common Factor

We found the factors and prime factorization of 306420 and 306428. The biggest common factor number is the GCF number.
So the greatest common factor 306420 and 306428 is 4.

Also check out the Least Common Multiple of 306420 and 306428

Properties of GCF 306420 and 306428

(i) The GCF of 306420 and 306428 is associative

GCF of 306420 and 306428 = GCF of 306428 and 306420

Related Greatest Common Factor of 306420

Related Greatest Common Factor of 306428

Frequently Asked Questions on GCF of 306420 and 306428

1. What is the GCF of 306420 and 306428?

Answer: GCF of 306420 and 306428 is 4.

2. What are the Factors of 306420?

Answer: Factors of 306420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 5107, 10214, 15321, 20428, 25535, 30642, 51070, 61284, 76605, 102140, 153210, 306420. There are 24 integers that are factors of 306420. The greatest factor of 306420 is 306420.

3. What are the Factors of 306428?

Answer: Factors of 306428 are 1, 2, 4, 76607, 153214, 306428. There are 6 integers that are factors of 306428. The greatest factor of 306428 is 306428.

4. How to Find the GCF of 306420 and 306428?

Answer:

Greatest Common Factor of 306420 and 306428 = 4

Step 1: Find the prime factorization of 306420

306420 = 2 x 2 x 3 x 5 x 5107

Step 2: Find the prime factorization of 306428

306428 = 2 x 2 x 76607

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 306420 and 306428 is 4