Greatest Common Factor of 82345 and 82350

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 82345, 82350 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82345 and 82350 is 5.

GCF(82345,82350) = 5

GCF of 82345 and 82350

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

GCF of:
and

Greatest Common Factor of 82345 and 82350

GCF of 82345 and 82350 is 5

Prime Factorization of 82345


5 82345
43 16469
383 383
1

Prime factors of 82345 are 5,43,383. Prime factorization of 82345 in exponential form is:

82345 = 51×431×3831

Prime Factorization of 82350


2 82350
3 41175
3 13725
3 4575
5 1525
5 305
61 61
1

Prime factors of 82350 are 2,3,5,61. Prime factorization of 82350 in exponential form is:

82350 = 21×33×52×611

∴ So by taking common prime factors GCF of 82345 and 82350 is 5

Greatest Common Factor of 82345 and 82350 by matching factors method

Factors of 82345

List of positive integer factors of 82345 that divides 82345 without a remainder.

1,5,43,215,383,1915,16469,82345

Factors of 82350

List of positive integer factors of 82350 that divides 82350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,61,75,90,122,135,150,183,225,270,305,366,450,549,610,675,915,1098,1350,1525,1647,1830,2745,3050,3294,4575,5490,8235,9150,13725,16470,27450,41175,82350

Greatest Common Factor

We found the factors and prime factorization of 82345 and 82350. The biggest common factor number is the GCF number.
So the greatest common factor 82345 and 82350 is 5.

Also check out the Least Common Multiple of 82345 and 82350

Properties of GCF 82345 and 82350

(i) The GCF of 82345 and 82350 is associative

GCF of 82345 and 82350 = GCF of 82350 and 82345

Related Greatest Common Factor of 82345

Related Greatest Common Factor of 82350

Frequently Asked Questions on GCF of 82345 and 82350

1. What is the GCF of 82345 and 82350?

Answer: GCF of 82345 and 82350 is 5.

2. What are the Factors of 82345?

Answer: Factors of 82345 are 1, 5, 43, 215, 383, 1915, 16469, 82345. There are 8 integers that are factors of 82345. The greatest factor of 82345 is 82345.

3. What are the Factors of 82350?

Answer: Factors of 82350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 61, 75, 90, 122, 135, 150, 183, 225, 270, 305, 366, 450, 549, 610, 675, 915, 1098, 1350, 1525, 1647, 1830, 2745, 3050, 3294, 4575, 5490, 8235, 9150, 13725, 16470, 27450, 41175, 82350. There are 48 integers that are factors of 82350. The greatest factor of 82350 is 82350.

4. How to Find the GCF of 82345 and 82350?

Answer:

Greatest Common Factor of 82345 and 82350 = 5

Step 1: Find the prime factorization of 82345

82345 = 5 x 43 x 383

Step 2: Find the prime factorization of 82350

82350 = 2 x 3 x 3 x 3 x 5 x 5 x 61

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

GCF = 5

Step 4: Therefore, the greatest common factor of 82345 and 82350 is 5