Greatest Common Factor of 20367 and 20370

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 20367, 20370 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20367 and 20370 is 3.

GCF(20367,20370) = 3

GCF of 20367 and 20370

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

GCF of:
and

Greatest Common Factor of 20367 and 20370

GCF of 20367 and 20370 is 3

Prime Factorization of 20367


3 20367
3 6789
31 2263
73 73
1

Prime factors of 20367 are 3,31,73. Prime factorization of 20367 in exponential form is:

20367 = 32×311×731

Prime Factorization of 20370


2 20370
3 10185
5 3395
7 679
97 97
1

Prime factors of 20370 are 2,3,5,7,97. Prime factorization of 20370 in exponential form is:

20370 = 21×31×51×71×971

∴ So by taking common prime factors GCF of 20367 and 20370 is 3

Greatest Common Factor of 20367 and 20370 by matching factors method

Factors of 20367

List of positive integer factors of 20367 that divides 20367 without a remainder.

1,3,9,31,73,93,219,279,657,2263,6789,20367

Factors of 20370

List of positive integer factors of 20370 that divides 20370 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,97,105,194,210,291,485,582,679,970,1358,1455,2037,2910,3395,4074,6790,10185,20370

Greatest Common Factor

We found the factors and prime factorization of 20367 and 20370. The biggest common factor number is the GCF number.
So the greatest common factor 20367 and 20370 is 3.

Also check out the Least Common Multiple of 20367 and 20370

Properties of GCF 20367 and 20370

(i) The GCF of 20367 and 20370 is associative

GCF of 20367 and 20370 = GCF of 20370 and 20367

Related Greatest Common Factor of 20367

Related Greatest Common Factor of 20370

Frequently Asked Questions on GCF of 20367 and 20370

1. What is the GCF of 20367 and 20370?

Answer: GCF of 20367 and 20370 is 3.

2. What are the Factors of 20367?

Answer: Factors of 20367 are 1, 3, 9, 31, 73, 93, 219, 279, 657, 2263, 6789, 20367. There are 12 integers that are factors of 20367. The greatest factor of 20367 is 20367.

3. What are the Factors of 20370?

Answer: Factors of 20370 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 97, 105, 194, 210, 291, 485, 582, 679, 970, 1358, 1455, 2037, 2910, 3395, 4074, 6790, 10185, 20370. There are 32 integers that are factors of 20370. The greatest factor of 20370 is 20370.

4. How to Find the GCF of 20367 and 20370?

Answer:

Greatest Common Factor of 20367 and 20370 = 3

Step 1: Find the prime factorization of 20367

20367 = 3 x 3 x 31 x 73

Step 2: Find the prime factorization of 20370

20370 = 2 x 3 x 5 x 7 x 97

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

GCF = 3

Step 4: Therefore, the greatest common factor of 20367 and 20370 is 3