Greatest Common Factor of 19420 and 19428

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 19420, 19428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 19420 and 19428 is 4.

GCF(19420,19428) = 4

GCF of 19420 and 19428

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

GCF of:
and

Greatest Common Factor of 19420 and 19428

GCF of 19420 and 19428 is 4

Prime Factorization of 19420


2 19420
2 9710
5 4855
971 971
1

Prime factors of 19420 are 2,5,971. Prime factorization of 19420 in exponential form is:

19420 = 22×51×9711

Prime Factorization of 19428


2 19428
2 9714
3 4857
1619 1619
1

Prime factors of 19428 are 2,3,1619. Prime factorization of 19428 in exponential form is:

19428 = 22×31×16191

∴ So by taking common prime factors GCF of 19420 and 19428 is 4

Greatest Common Factor of 19420 and 19428 by matching factors method

Factors of 19420

List of positive integer factors of 19420 that divides 19420 without a remainder.

1,2,4,5,10,20,971,1942,3884,4855,9710,19420

Factors of 19428

List of positive integer factors of 19428 that divides 19428 without a remainder.

1,2,3,4,6,12,1619,3238,4857,6476,9714,19428

Greatest Common Factor

We found the factors and prime factorization of 19420 and 19428. The biggest common factor number is the GCF number.
So the greatest common factor 19420 and 19428 is 4.

Also check out the Least Common Multiple of 19420 and 19428

Properties of GCF 19420 and 19428

(i) The GCF of 19420 and 19428 is associative

GCF of 19420 and 19428 = GCF of 19428 and 19420

Related Greatest Common Factor of 19420

Related Greatest Common Factor of 19428

Frequently Asked Questions on GCF of 19420 and 19428

1. What is the GCF of 19420 and 19428?

Answer: GCF of 19420 and 19428 is 4.

2. What are the Factors of 19420?

Answer: Factors of 19420 are 1, 2, 4, 5, 10, 20, 971, 1942, 3884, 4855, 9710, 19420. There are 12 integers that are factors of 19420. The greatest factor of 19420 is 19420.

3. What are the Factors of 19428?

Answer: Factors of 19428 are 1, 2, 3, 4, 6, 12, 1619, 3238, 4857, 6476, 9714, 19428. There are 12 integers that are factors of 19428. The greatest factor of 19428 is 19428.

4. How to Find the GCF of 19420 and 19428?

Answer:

Greatest Common Factor of 19420 and 19428 = 4

Step 1: Find the prime factorization of 19420

19420 = 2 x 2 x 5 x 971

Step 2: Find the prime factorization of 19428

19428 = 2 x 2 x 3 x 1619

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 19420 and 19428 is 4