Greatest Common Factor of 19413 and 19420

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 19413, 19420 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 19413 and 19420 is 1.

GCF(19413,19420) = 1

GCF of 19413 and 19420

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

GCF of:
and

Greatest Common Factor of 19413 and 19420

GCF of 19413 and 19420 is 1

Prime Factorization of 19413


3 19413
3 6471
3 2157
719 719
1

Prime factors of 19413 are 3,719. Prime factorization of 19413 in exponential form is:

19413 = 33×7191

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

∴ So by taking common prime factors GCF of 19413 and 19420 is 1

Greatest Common Factor of 19413 and 19420 by matching factors method

Factors of 19413

List of positive integer factors of 19413 that divides 19413 without a remainder.

1,3,9,27,719,2157,6471,19413

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

Greatest Common Factor

We found the factors and prime factorization of 19413 and 19420. The biggest common factor number is the GCF number.
So the greatest common factor 19413 and 19420 is 1.

Also check out the Least Common Multiple of 19413 and 19420

Properties of GCF 19413 and 19420

(i) The GCF of 19413 and 19420 is associative

GCF of 19413 and 19420 = GCF of 19420 and 19413

Related Greatest Common Factor of 19413

Related Greatest Common Factor of 19420

Frequently Asked Questions on GCF of 19413 and 19420

1. What is the GCF of 19413 and 19420?

Answer: GCF of 19413 and 19420 is 1.

2. What are the Factors of 19413?

Answer: Factors of 19413 are 1, 3, 9, 27, 719, 2157, 6471, 19413. There are 8 integers that are factors of 19413. The greatest factor of 19413 is 19413.

3. 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.

4. How to Find the GCF of 19413 and 19420?

Answer:

Greatest Common Factor of 19413 and 19420 = 1

Step 1: Find the prime factorization of 19413

19413 = 3 x 3 x 3 x 719

Step 2: Find the prime factorization of 19420

19420 = 2 x 2 x 5 x 971

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 19413 and 19420 is 1