Greatest Common Factor of 309413 and 309420

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 309413, 309420 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309413 and 309420 is 1.

GCF(309413,309420) = 1

GCF of 309413 and 309420

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

GCF of:
and

Greatest Common Factor of 309413 and 309420

GCF of 309413 and 309420 is 1

Prime Factorization of 309413


13 309413
23801 23801
1

Prime factors of 309413 are 13,23801. Prime factorization of 309413 in exponential form is:

309413 = 131×238011

Prime Factorization of 309420


2 309420
2 154710
3 77355
3 25785
3 8595
3 2865
5 955
191 191
1

Prime factors of 309420 are 2,3,5,191. Prime factorization of 309420 in exponential form is:

309420 = 22×34×51×1911

∴ So by taking common prime factors GCF of 309413 and 309420 is 1

Greatest Common Factor of 309413 and 309420 by matching factors method

Factors of 309413

List of positive integer factors of 309413 that divides 309413 without a remainder.

1,13,23801,309413

Factors of 309420

List of positive integer factors of 309420 that divides 309420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,191,270,324,382,405,540,573,764,810,955,1146,1620,1719,1910,2292,2865,3438,3820,5157,5730,6876,8595,10314,11460,15471,17190,20628,25785,30942,34380,51570,61884,77355,103140,154710,309420

Greatest Common Factor

We found the factors and prime factorization of 309413 and 309420. The biggest common factor number is the GCF number.
So the greatest common factor 309413 and 309420 is 1.

Also check out the Least Common Multiple of 309413 and 309420

Properties of GCF 309413 and 309420

(i) The GCF of 309413 and 309420 is associative

GCF of 309413 and 309420 = GCF of 309420 and 309413

Related Greatest Common Factor of 309413

Related Greatest Common Factor of 309420

Frequently Asked Questions on GCF of 309413 and 309420

1. What is the GCF of 309413 and 309420?

Answer: GCF of 309413 and 309420 is 1.

2. What are the Factors of 309413?

Answer: Factors of 309413 are 1, 13, 23801, 309413. There are 4 integers that are factors of 309413. The greatest factor of 309413 is 309413.

3. What are the Factors of 309420?

Answer: Factors of 309420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 191, 270, 324, 382, 405, 540, 573, 764, 810, 955, 1146, 1620, 1719, 1910, 2292, 2865, 3438, 3820, 5157, 5730, 6876, 8595, 10314, 11460, 15471, 17190, 20628, 25785, 30942, 34380, 51570, 61884, 77355, 103140, 154710, 309420. There are 60 integers that are factors of 309420. The greatest factor of 309420 is 309420.

4. How to Find the GCF of 309413 and 309420?

Answer:

Greatest Common Factor of 309413 and 309420 = 1

Step 1: Find the prime factorization of 309413

309413 = 13 x 23801

Step 2: Find the prime factorization of 309420

309420 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 191

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 309413 and 309420 is 1