Greatest Common Factor of 23375 and 23380

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 23375, 23380 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23375 and 23380 is 5.

GCF(23375,23380) = 5

GCF of 23375 and 23380

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

GCF of:
and

Greatest Common Factor of 23375 and 23380

GCF of 23375 and 23380 is 5

Prime Factorization of 23375


5 23375
5 4675
5 935
11 187
17 17
1

Prime factors of 23375 are 5,11,17. Prime factorization of 23375 in exponential form is:

23375 = 53×111×171

Prime Factorization of 23380


2 23380
2 11690
5 5845
7 1169
167 167
1

Prime factors of 23380 are 2,5,7,167. Prime factorization of 23380 in exponential form is:

23380 = 22×51×71×1671

∴ So by taking common prime factors GCF of 23375 and 23380 is 5

Greatest Common Factor of 23375 and 23380 by matching factors method

Factors of 23375

List of positive integer factors of 23375 that divides 23375 without a remainder.

1,5,11,17,25,55,85,125,187,275,425,935,1375,2125,4675,23375

Factors of 23380

List of positive integer factors of 23380 that divides 23380 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140,167,334,668,835,1169,1670,2338,3340,4676,5845,11690,23380

Greatest Common Factor

We found the factors and prime factorization of 23375 and 23380. The biggest common factor number is the GCF number.
So the greatest common factor 23375 and 23380 is 5.

Also check out the Least Common Multiple of 23375 and 23380

Properties of GCF 23375 and 23380

(i) The GCF of 23375 and 23380 is associative

GCF of 23375 and 23380 = GCF of 23380 and 23375

Related Greatest Common Factor of 23375

Related Greatest Common Factor of 23380

Frequently Asked Questions on GCF of 23375 and 23380

1. What is the GCF of 23375 and 23380?

Answer: GCF of 23375 and 23380 is 5.

2. What are the Factors of 23375?

Answer: Factors of 23375 are 1, 5, 11, 17, 25, 55, 85, 125, 187, 275, 425, 935, 1375, 2125, 4675, 23375. There are 16 integers that are factors of 23375. The greatest factor of 23375 is 23375.

3. What are the Factors of 23380?

Answer: Factors of 23380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690, 23380. There are 24 integers that are factors of 23380. The greatest factor of 23380 is 23380.

4. How to Find the GCF of 23375 and 23380?

Answer:

Greatest Common Factor of 23375 and 23380 = 5

Step 1: Find the prime factorization of 23375

23375 = 5 x 5 x 5 x 11 x 17

Step 2: Find the prime factorization of 23380

23380 = 2 x 2 x 5 x 7 x 167

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 23375 and 23380 is 5